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Finding the Fourth Proportional to 32,567.40, 48,854.34 and 10,083.42

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Solution

The fourth proportional to 32,567.40, 48,854.34 and 10,083.42 is: 15,126.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,567.40 : 48,854.34 = 10,083.42 : x
  2. Step 2: Convert to fraction form
    32,567.40/48,854.34 = 10,083.42/x
  3. Step 3: Cross multiply
    32,567.40x = 48,854.34 × 10,083.42
  4. Step 4: Simplify right side
    32,567.40x = 492,618,829.04
  5. Step 5: Solve for x
    x = 492,618,829.04/32,567.40
  6. Step 6: Final answer
    x = 15,126.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.