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Finding the Fourth Proportional to 65,476.64, 90,358.40 and 37,182.53

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Solution

The fourth proportional to 65,476.64, 90,358.40 and 37,182.53 is: 51,312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,476.64 : 90,358.40 = 37,182.53 : x
  2. Step 2: Convert to fraction form
    65,476.64/90,358.40 = 37,182.53/x
  3. Step 3: Cross multiply
    65,476.64x = 90,358.40 × 37,182.53
  4. Step 4: Simplify right side
    65,476.64x = 3,359,753,918.75
  5. Step 5: Solve for x
    x = 3,359,753,918.75/65,476.64
  6. Step 6: Final answer
    x = 51,312.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.