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Finding the Fourth Proportional to 42,909.04, 59,214.36 and 24,046

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Solution

The fourth proportional to 42,909.04, 59,214.36 and 24,046 is: 33,183.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,909.04 : 59,214.36 = 24,046 : x
  2. Step 2: Convert to fraction form
    42,909.04/59,214.36 = 24,046/x
  3. Step 3: Cross multiply
    42,909.04x = 59,214.36 × 24,046
  4. Step 4: Simplify right side
    42,909.04x = 1,423,868,500.56
  5. Step 5: Solve for x
    x = 1,423,868,500.56/42,909.04
  6. Step 6: Final answer
    x = 33,183.42

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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.