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Finding the Fourth Proportional to 65,877.91, 98,854.83 and 65,343.00

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Solution

The fourth proportional to 65,877.91, 98,854.83 and 65,343.00 is: 98,052.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,877.91 : 98,854.83 = 65,343.00 : x
  2. Step 2: Convert to fraction form
    65,877.91/98,854.83 = 65,343.00/x
  3. Step 3: Cross multiply
    65,877.91x = 98,854.83 × 65,343.00
  4. Step 4: Simplify right side
    65,877.91x = 6,459,471,527.40
  5. Step 5: Solve for x
    x = 6,459,471,527.40/65,877.91
  6. Step 6: Final answer
    x = 98,052.17

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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.