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Finding the Fourth Proportional to 65,119.95, 97,691.63 and 23,024.47

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Solution

The fourth proportional to 65,119.95, 97,691.63 and 23,024.47 is: 34,540.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,119.95 : 97,691.63 = 23,024.47 : x
  2. Step 2: Convert to fraction form
    65,119.95/97,691.63 = 23,024.47/x
  3. Step 3: Cross multiply
    65,119.95x = 97,691.63 × 23,024.47
  4. Step 4: Simplify right side
    65,119.95x = 2,249,298,004.19
  5. Step 5: Solve for x
    x = 2,249,298,004.19/65,119.95
  6. Step 6: Final answer
    x = 34,540.84

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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.