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Finding the Fourth Proportional to 73,502.86, 110,166.80 and 42,272.50

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Solution

The fourth proportional to 73,502.86, 110,166.80 and 42,272.50 is: 63,358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,502.86 : 110,166.80 = 42,272.50 : x
  2. Step 2: Convert to fraction form
    73,502.86/110,166.80 = 42,272.50/x
  3. Step 3: Cross multiply
    73,502.86x = 110,166.80 × 42,272.50
  4. Step 4: Simplify right side
    73,502.86x = 4,657,026,053
  5. Step 5: Solve for x
    x = 4,657,026,053/73,502.86
  6. Step 6: Final answer
    x = 63,358.43

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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.