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Finding the Fourth Proportional to 74,294.82, 102,549.65 and 42,484.91

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Solution

The fourth proportional to 74,294.82, 102,549.65 and 42,484.91 is: 58,642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,294.82 : 102,549.65 = 42,484.91 : x
  2. Step 2: Convert to fraction form
    74,294.82/102,549.65 = 42,484.91/x
  3. Step 3: Cross multiply
    74,294.82x = 102,549.65 × 42,484.91
  4. Step 4: Simplify right side
    74,294.82x = 4,356,811,925.61
  5. Step 5: Solve for x
    x = 4,356,811,925.61/74,294.82
  6. Step 6: Final answer
    x = 58,642.20

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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.