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Finding the Fourth Proportional to 65,141.40, 97,712.10 and 61,512.60

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Solution

The fourth proportional to 65,141.40, 97,712.10 and 61,512.60 is: 92,268.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,141.40 : 97,712.10 = 61,512.60 : x
  2. Step 2: Convert to fraction form
    65,141.40/97,712.10 = 61,512.60/x
  3. Step 3: Cross multiply
    65,141.40x = 97,712.10 × 61,512.60
  4. Step 4: Simplify right side
    65,141.40x = 6,010,525,322.46
  5. Step 5: Solve for x
    x = 6,010,525,322.46/65,141.40
  6. Step 6: Final answer
    x = 92,268.90

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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.