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Finding the Fourth Proportional to 74,298.81, 102,539.43 and 42,461.54

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Solution

The fourth proportional to 74,298.81, 102,539.43 and 42,461.54 is: 58,600.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,298.81 : 102,539.43 = 42,461.54 : x
  2. Step 2: Convert to fraction form
    74,298.81/102,539.43 = 42,461.54/x
  3. Step 3: Cross multiply
    74,298.81x = 102,539.43 × 42,461.54
  4. Step 4: Simplify right side
    74,298.81x = 4,353,981,595.83
  5. Step 5: Solve for x
    x = 4,353,981,595.83/74,298.81
  6. Step 6: Final answer
    x = 58,600.96

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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.