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Finding the Fourth Proportional to 102,158.94, 153,260.01 and 32,045.34

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Solution

The fourth proportional to 102,158.94, 153,260.01 and 32,045.34 is: 48,074.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,158.94 : 153,260.01 = 32,045.34 : x
  2. Step 2: Convert to fraction form
    102,158.94/153,260.01 = 32,045.34/x
  3. Step 3: Cross multiply
    102,158.94x = 153,260.01 × 32,045.34
  4. Step 4: Simplify right side
    102,158.94x = 4,911,269,128.85
  5. Step 5: Solve for x
    x = 4,911,269,128.85/102,158.94
  6. Step 6: Final answer
    x = 48,074.79

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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.