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Finding the Fourth Proportional to 65,386.71, 97,956.27 and 38,652.66

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Solution

The fourth proportional to 65,386.71, 97,956.27 and 38,652.66 is: 57,905.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,386.71 : 97,956.27 = 38,652.66 : x
  2. Step 2: Convert to fraction form
    65,386.71/97,956.27 = 38,652.66/x
  3. Step 3: Cross multiply
    65,386.71x = 97,956.27 × 38,652.66
  4. Step 4: Simplify right side
    65,386.71x = 3,786,270,399.18
  5. Step 5: Solve for x
    x = 3,786,270,399.18/65,386.71
  6. Step 6: Final answer
    x = 57,905.81

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Why These Related Problems?

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