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Finding the Fourth Proportional to 42,970.59, 59,285.92 and 24,819

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Solution

The fourth proportional to 42,970.59, 59,285.92 and 24,819 is: 34,242.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,970.59 : 59,285.92 = 24,819 : x
  2. Step 2: Convert to fraction form
    42,970.59/59,285.92 = 24,819/x
  3. Step 3: Cross multiply
    42,970.59x = 59,285.92 × 24,819
  4. Step 4: Simplify right side
    42,970.59x = 1,471,417,248.48
  5. Step 5: Solve for x
    x = 1,471,417,248.48/42,970.59
  6. Step 6: Final answer
    x = 34,242.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.