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Finding the Fourth Proportional to 65,207.10, 97,810.65 and 34,103.10

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Solution

The fourth proportional to 65,207.10, 97,810.65 and 34,103.10 is: 51,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,207.10 : 97,810.65 = 34,103.10 : x
  2. Step 2: Convert to fraction form
    65,207.10/97,810.65 = 34,103.10/x
  3. Step 3: Cross multiply
    65,207.10x = 97,810.65 × 34,103.10
  4. Step 4: Simplify right side
    65,207.10x = 3,335,646,378.02
  5. Step 5: Solve for x
    x = 3,335,646,378.02/65,207.10
  6. Step 6: Final answer
    x = 51,154.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.