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Finding the Fourth Proportional to 73,909.68, 101,995.45 and 42,078.58

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Solution

The fourth proportional to 73,909.68, 101,995.45 and 42,078.58 is: 58,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,909.68 : 101,995.45 = 42,078.58 : x
  2. Step 2: Convert to fraction form
    73,909.68/101,995.45 = 42,078.58/x
  3. Step 3: Cross multiply
    73,909.68x = 101,995.45 × 42,078.58
  4. Step 4: Simplify right side
    73,909.68x = 4,291,823,702.46
  5. Step 5: Solve for x
    x = 4,291,823,702.46/73,909.68
  6. Step 6: Final answer
    x = 58,068.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.