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Finding the Fourth Proportional to 65,083.01, 97,639.17 and 22,966.10

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Solution

The fourth proportional to 65,083.01, 97,639.17 and 22,966.10 is: 34,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,083.01 : 97,639.17 = 22,966.10 : x
  2. Step 2: Convert to fraction form
    65,083.01/97,639.17 = 22,966.10/x
  3. Step 3: Cross multiply
    65,083.01x = 97,639.17 × 22,966.10
  4. Step 4: Simplify right side
    65,083.01x = 2,242,390,863.15
  5. Step 5: Solve for x
    x = 2,242,390,863.15/65,083.01
  6. Step 6: Final answer
    x = 34,454.32

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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.