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Finding the Fourth Proportional to 37,734.40, 56,601.52 and 10,032.40

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Solution

The fourth proportional to 37,734.40, 56,601.52 and 10,032.40 is: 15,048.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,734.40 : 56,601.52 = 10,032.40 : x
  2. Step 2: Convert to fraction form
    37,734.40/56,601.52 = 10,032.40/x
  3. Step 3: Cross multiply
    37,734.40x = 56,601.52 × 10,032.40
  4. Step 4: Simplify right side
    37,734.40x = 567,849,089.25
  5. Step 5: Solve for x
    x = 567,849,089.25/37,734.40
  6. Step 6: Final answer
    x = 15,048.58

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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.