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Finding the Fourth Proportional to 65,134.60, 97,712.70 and 27,712.60

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Solution

The fourth proportional to 65,134.60, 97,712.70 and 27,712.60 is: 41,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,134.60 : 97,712.70 = 27,712.60 : x
  2. Step 2: Convert to fraction form
    65,134.60/97,712.70 = 27,712.60/x
  3. Step 3: Cross multiply
    65,134.60x = 97,712.70 × 27,712.60
  4. Step 4: Simplify right side
    65,134.60x = 2,707,872,970.02
  5. Step 5: Solve for x
    x = 2,707,872,970.02/65,134.60
  6. Step 6: Final answer
    x = 41,573.50

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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.