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Finding the Fourth Proportional to 64,839.90, 97,264.86 and 24,878.01

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Solution

The fourth proportional to 64,839.90, 97,264.86 and 24,878.01 is: 37,318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,839.90 : 97,264.86 = 24,878.01 : x
  2. Step 2: Convert to fraction form
    64,839.90/97,264.86 = 24,878.01/x
  3. Step 3: Cross multiply
    64,839.90x = 97,264.86 × 24,878.01
  4. Step 4: Simplify right side
    64,839.90x = 2,419,756,159.73
  5. Step 5: Solve for x
    x = 2,419,756,159.73/64,839.90
  6. Step 6: Final answer
    x = 37,318.94

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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.