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Finding the Fourth Proportional to 102,460.94, 153,691.30 and 32,340.25

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Solution

The fourth proportional to 102,460.94, 153,691.30 and 32,340.25 is: 48,510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,460.94 : 153,691.30 = 32,340.25 : x
  2. Step 2: Convert to fraction form
    102,460.94/153,691.30 = 32,340.25/x
  3. Step 3: Cross multiply
    102,460.94x = 153,691.30 × 32,340.25
  4. Step 4: Simplify right side
    102,460.94x = 4,970,415,064.83
  5. Step 5: Solve for x
    x = 4,970,415,064.83/102,460.94
  6. Step 6: Final answer
    x = 48,510.34

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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.