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Finding the Fourth Proportional to 102,558.61, 153,787.23 and 31,464.23

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Solution

The fourth proportional to 102,558.61, 153,787.23 and 31,464.23 is: 47,180.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,558.61 : 153,787.23 = 31,464.23 : x
  2. Step 2: Convert to fraction form
    102,558.61/153,787.23 = 31,464.23/x
  3. Step 3: Cross multiply
    102,558.61x = 153,787.23 × 31,464.23
  4. Step 4: Simplify right side
    102,558.61x = 4,838,796,775.78
  5. Step 5: Solve for x
    x = 4,838,796,775.78/102,558.61
  6. Step 6: Final answer
    x = 47,180.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.