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Finding the Fourth Proportional to 65,129.04, 97,664.40 and 23,000.40

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Solution

The fourth proportional to 65,129.04, 97,664.40 and 23,000.40 is: 34,490.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,129.04 : 97,664.40 = 23,000.40 : x
  2. Step 2: Convert to fraction form
    65,129.04/97,664.40 = 23,000.40/x
  3. Step 3: Cross multiply
    65,129.04x = 97,664.40 × 23,000.40
  4. Step 4: Simplify right side
    65,129.04x = 2,246,320,265.76
  5. Step 5: Solve for x
    x = 2,246,320,265.76/65,129.04
  6. Step 6: Final answer
    x = 34,490.30

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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.