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Finding the Fourth Proportional to 65,252.40, 97,874.89 and 17,864.02

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Solution

The fourth proportional to 65,252.40, 97,874.89 and 17,864.02 is: 26,795.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,252.40 : 97,874.89 = 17,864.02 : x
  2. Step 2: Convert to fraction form
    65,252.40/97,874.89 = 17,864.02/x
  3. Step 3: Cross multiply
    65,252.40x = 97,874.89 × 17,864.02
  4. Step 4: Simplify right side
    65,252.40x = 1,748,438,992.46
  5. Step 5: Solve for x
    x = 1,748,438,992.46/65,252.40
  6. Step 6: Final answer
    x = 26,795.01

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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.