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Finding the Fourth Proportional to 75,412.74, 113,111.76 and 37,957.88

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Solution

The fourth proportional to 75,412.74, 113,111.76 and 37,957.88 is: 56,933.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,412.74 : 113,111.76 = 37,957.88 : x
  2. Step 2: Convert to fraction form
    75,412.74/113,111.76 = 37,957.88/x
  3. Step 3: Cross multiply
    75,412.74x = 113,111.76 × 37,957.88
  4. Step 4: Simplify right side
    75,412.74x = 4,293,482,612.67
  5. Step 5: Solve for x
    x = 4,293,482,612.67/75,412.74
  6. Step 6: Final answer
    x = 56,933.12

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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.