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Finding the Fourth Proportional to 65,112, 97,610.08 and 23,549.76

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Solution

The fourth proportional to 65,112, 97,610.08 and 23,549.76 is: 35,303.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,112 : 97,610.08 = 23,549.76 : x
  2. Step 2: Convert to fraction form
    65,112/97,610.08 = 23,549.76/x
  3. Step 3: Cross multiply
    65,112x = 97,610.08 × 23,549.76
  4. Step 4: Simplify right side
    65,112x = 2,298,693,957.58
  5. Step 5: Solve for x
    x = 2,298,693,957.58/65,112
  6. Step 6: Final answer
    x = 35,303.69

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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.