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Finding the Fourth Proportional to 65,039.19, 97,603.13 and 29,979.15

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Solution

The fourth proportional to 65,039.19, 97,603.13 and 29,979.15 is: 44,989.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,039.19 : 97,603.13 = 29,979.15 : x
  2. Step 2: Convert to fraction form
    65,039.19/97,603.13 = 29,979.15/x
  3. Step 3: Cross multiply
    65,039.19x = 97,603.13 × 29,979.15
  4. Step 4: Simplify right side
    65,039.19x = 2,926,058,874.74
  5. Step 5: Solve for x
    x = 2,926,058,874.74/65,039.19
  6. Step 6: Final answer
    x = 44,989.17

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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.