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Finding the Fourth Proportional to 37,254.81, 55,881.72 and 9,175.20

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Solution

The fourth proportional to 37,254.81, 55,881.72 and 9,175.20 is: 13,762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,254.81 : 55,881.72 = 9,175.20 : x
  2. Step 2: Convert to fraction form
    37,254.81/55,881.72 = 9,175.20/x
  3. Step 3: Cross multiply
    37,254.81x = 55,881.72 × 9,175.20
  4. Step 4: Simplify right side
    37,254.81x = 512,725,957.34
  5. Step 5: Solve for x
    x = 512,725,957.34/37,254.81
  6. Step 6: Final answer
    x = 13,762.68

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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.