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Finding the Fourth Proportional to 32,962.50, 45,488.01 and 17,854.80

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Solution

The fourth proportional to 32,962.50, 45,488.01 and 17,854.80 is: 24,639.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,962.50 : 45,488.01 = 17,854.80 : x
  2. Step 2: Convert to fraction form
    32,962.50/45,488.01 = 17,854.80/x
  3. Step 3: Cross multiply
    32,962.50x = 45,488.01 × 17,854.80
  4. Step 4: Simplify right side
    32,962.50x = 812,179,320.95
  5. Step 5: Solve for x
    x = 812,179,320.95/32,962.50
  6. Step 6: Final answer
    x = 24,639.49

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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.