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Finding the Fourth Proportional to 74,565.67, 102,902.38 and 42,302.47

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Solution

The fourth proportional to 74,565.67, 102,902.38 and 42,302.47 is: 58,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,565.67 : 102,902.38 = 42,302.47 : x
  2. Step 2: Convert to fraction form
    74,565.67/102,902.38 = 42,302.47/x
  3. Step 3: Cross multiply
    74,565.67x = 102,902.38 × 42,302.47
  4. Step 4: Simplify right side
    74,565.67x = 4,353,024,328.37
  5. Step 5: Solve for x
    x = 4,353,024,328.37/74,565.67
  6. Step 6: Final answer
    x = 58,378.40

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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.