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Finding the Fourth Proportional to 101,487.48, 152,253.65 and 30,407.22

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Solution

The fourth proportional to 101,487.48, 152,253.65 and 30,407.22 is: 45,617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,487.48 : 152,253.65 = 30,407.22 : x
  2. Step 2: Convert to fraction form
    101,487.48/152,253.65 = 30,407.22/x
  3. Step 3: Cross multiply
    101,487.48x = 152,253.65 × 30,407.22
  4. Step 4: Simplify right side
    101,487.48x = 4,629,610,079.32
  5. Step 5: Solve for x
    x = 4,629,610,079.32/101,487.48
  6. Step 6: Final answer
    x = 45,617.55

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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.