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Finding the Fourth Proportional to 76,248.74, 114,376.76 and 36,839.00

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Solution

The fourth proportional to 76,248.74, 114,376.76 and 36,839.00 is: 55,260.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,248.74 : 114,376.76 = 36,839.00 : x
  2. Step 2: Convert to fraction form
    76,248.74/114,376.76 = 36,839.00/x
  3. Step 3: Cross multiply
    76,248.74x = 114,376.76 × 36,839.00
  4. Step 4: Simplify right side
    76,248.74x = 4,213,525,701.53
  5. Step 5: Solve for x
    x = 4,213,525,701.53/76,248.74
  6. Step 6: Final answer
    x = 55,260.26

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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.