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Finding the Fourth Proportional to 96,294.48, 144,459.81 and 43,707.66

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Solution

The fourth proportional to 96,294.48, 144,459.81 and 43,707.66 is: 65,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,294.48 : 144,459.81 = 43,707.66 : x
  2. Step 2: Convert to fraction form
    96,294.48/144,459.81 = 43,707.66/x
  3. Step 3: Cross multiply
    96,294.48x = 144,459.81 × 43,707.66
  4. Step 4: Simplify right side
    96,294.48x = 6,314,000,259.14
  5. Step 5: Solve for x
    x = 6,314,000,259.14/96,294.48
  6. Step 6: Final answer
    x = 65,569.70

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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.