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Finding the Fourth Proportional to 101,560.19, 152,354.47 and 42,382.31

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Solution

The fourth proportional to 101,560.19, 152,354.47 and 42,382.31 is: 63,579.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,560.19 : 152,354.47 = 42,382.31 : x
  2. Step 2: Convert to fraction form
    101,560.19/152,354.47 = 42,382.31/x
  3. Step 3: Cross multiply
    101,560.19x = 152,354.47 × 42,382.31
  4. Step 4: Simplify right side
    101,560.19x = 6,457,133,509.70
  5. Step 5: Solve for x
    x = 6,457,133,509.70/101,560.19
  6. Step 6: Final answer
    x = 63,579.37

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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.