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Finding the Fourth Proportional to 64,859.74, 97,292.25 and 29,314.24

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Solution

The fourth proportional to 64,859.74, 97,292.25 and 29,314.24 is: 43,972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,859.74 : 97,292.25 = 29,314.24 : x
  2. Step 2: Convert to fraction form
    64,859.74/97,292.25 = 29,314.24/x
  3. Step 3: Cross multiply
    64,859.74x = 97,292.25 × 29,314.24
  4. Step 4: Simplify right side
    64,859.74x = 2,852,048,366.64
  5. Step 5: Solve for x
    x = 2,852,048,366.64/64,859.74
  6. Step 6: Final answer
    x = 43,972.55

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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.