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Finding the Fourth Proportional to 64,921.61, 97,323.64 and 25,468.13

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Solution

The fourth proportional to 64,921.61, 97,323.64 and 25,468.13 is: 38,179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,921.61 : 97,323.64 = 25,468.13 : x
  2. Step 2: Convert to fraction form
    64,921.61/97,323.64 = 25,468.13/x
  3. Step 3: Cross multiply
    64,921.61x = 97,323.64 × 25,468.13
  4. Step 4: Simplify right side
    64,921.61x = 2,478,651,390.74
  5. Step 5: Solve for x
    x = 2,478,651,390.74/64,921.61
  6. Step 6: Final answer
    x = 38,179.14

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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.