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Finding the Fourth Proportional to 65,407.68, 90,275.04 and 37,116

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Solution

The fourth proportional to 65,407.68, 90,275.04 and 37,116 is: 51,227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,407.68 : 90,275.04 = 37,116 : x
  2. Step 2: Convert to fraction form
    65,407.68/90,275.04 = 37,116/x
  3. Step 3: Cross multiply
    65,407.68x = 90,275.04 × 37,116
  4. Step 4: Simplify right side
    65,407.68x = 3,350,648,384.64
  5. Step 5: Solve for x
    x = 3,350,648,384.64/65,407.68
  6. Step 6: Final answer
    x = 51,227.14

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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.