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Finding the Fourth Proportional to 65,122.60, 97,664.70 and 25,666.60

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Solution

The fourth proportional to 65,122.60, 97,664.70 and 25,666.60 is: 38,492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,122.60 : 97,664.70 = 25,666.60 : x
  2. Step 2: Convert to fraction form
    65,122.60/97,664.70 = 25,666.60/x
  3. Step 3: Cross multiply
    65,122.60x = 97,664.70 × 25,666.60
  4. Step 4: Simplify right side
    65,122.60x = 2,506,720,789.02
  5. Step 5: Solve for x
    x = 2,506,720,789.02/65,122.60
  6. Step 6: Final answer
    x = 38,492.33

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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.