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Finding the Fourth Proportional to 42,140.39, 58,155.43 and 24,235.39

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Solution

The fourth proportional to 42,140.39, 58,155.43 and 24,235.39 is: 33,445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,140.39 : 58,155.43 = 24,235.39 : x
  2. Step 2: Convert to fraction form
    42,140.39/58,155.43 = 24,235.39/x
  3. Step 3: Cross multiply
    42,140.39x = 58,155.43 × 24,235.39
  4. Step 4: Simplify right side
    42,140.39x = 1,409,419,526.67
  5. Step 5: Solve for x
    x = 1,409,419,526.67/42,140.39
  6. Step 6: Final answer
    x = 33,445.81

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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.