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Finding the Fourth Proportional to 55,984.71, 77,274.80 and 36,878.43

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Solution

The fourth proportional to 55,984.71, 77,274.80 and 36,878.43 is: 50,902.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,984.71 : 77,274.80 = 36,878.43 : x
  2. Step 2: Convert to fraction form
    55,984.71/77,274.80 = 36,878.43/x
  3. Step 3: Cross multiply
    55,984.71x = 77,274.80 × 36,878.43
  4. Step 4: Simplify right side
    55,984.71x = 2,849,773,118.17
  5. Step 5: Solve for x
    x = 2,849,773,118.17/55,984.71
  6. Step 6: Final answer
    x = 50,902.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.