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Finding the Fourth Proportional to 101,585.48, 152,402.55 and 42,388.22

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Solution

The fourth proportional to 101,585.48, 152,402.55 and 42,388.22 is: 63,592.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,585.48 : 152,402.55 = 42,388.22 : x
  2. Step 2: Convert to fraction form
    101,585.48/152,402.55 = 42,388.22/x
  3. Step 3: Cross multiply
    101,585.48x = 152,402.55 × 42,388.22
  4. Step 4: Simplify right side
    101,585.48x = 6,460,072,817.96
  5. Step 5: Solve for x
    x = 6,460,072,817.96/101,585.48
  6. Step 6: Final answer
    x = 63,592.48

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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.