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Finding the Fourth Proportional to 75,487.52, 113,192.40 and 28,083.08

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Solution

The fourth proportional to 75,487.52, 113,192.40 and 28,083.08 is: 42,110.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,487.52 : 113,192.40 = 28,083.08 : x
  2. Step 2: Convert to fraction form
    75,487.52/113,192.40 = 28,083.08/x
  3. Step 3: Cross multiply
    75,487.52x = 113,192.40 × 28,083.08
  4. Step 4: Simplify right side
    75,487.52x = 3,178,791,224.59
  5. Step 5: Solve for x
    x = 3,178,791,224.59/75,487.52
  6. Step 6: Final answer
    x = 42,110.16

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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.