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Finding the Fourth Proportional to 65,027.01, 97,547.01 and 17,642.85

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Solution

The fourth proportional to 65,027.01, 97,547.01 and 17,642.85 is: 26,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,027.01 : 97,547.01 = 17,642.85 : x
  2. Step 2: Convert to fraction form
    65,027.01/97,547.01 = 17,642.85/x
  3. Step 3: Cross multiply
    65,027.01x = 97,547.01 × 17,642.85
  4. Step 4: Simplify right side
    65,027.01x = 1,721,007,265.38
  5. Step 5: Solve for x
    x = 1,721,007,265.38/65,027.01
  6. Step 6: Final answer
    x = 26,466.04

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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.