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Finding the Fourth Proportional to 74,333.42, 102,583.22 and 42,502.31

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Solution

The fourth proportional to 74,333.42, 102,583.22 and 42,502.31 is: 58,654.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,333.42 : 102,583.22 = 42,502.31 : x
  2. Step 2: Convert to fraction form
    74,333.42/102,583.22 = 42,502.31/x
  3. Step 3: Cross multiply
    74,333.42x = 102,583.22 × 42,502.31
  4. Step 4: Simplify right side
    74,333.42x = 4,360,023,091.81
  5. Step 5: Solve for x
    x = 4,360,023,091.81/74,333.42
  6. Step 6: Final answer
    x = 58,654.95

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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.