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Finding the Fourth Proportional to 65,100.74, 97,565.76 and 37,033.70

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Solution

The fourth proportional to 65,100.74, 97,565.76 and 37,033.70 is: 55,502.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,100.74 : 97,565.76 = 37,033.70 : x
  2. Step 2: Convert to fraction form
    65,100.74/97,565.76 = 37,033.70/x
  3. Step 3: Cross multiply
    65,100.74x = 97,565.76 × 37,033.70
  4. Step 4: Simplify right side
    65,100.74x = 3,613,221,086.11
  5. Step 5: Solve for x
    x = 3,613,221,086.11/65,100.74
  6. Step 6: Final answer
    x = 55,502.00

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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.