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Finding the Fourth Proportional to 117,041.88, 175,478.96 and 49,578.46

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Solution

The fourth proportional to 117,041.88, 175,478.96 and 49,578.46 is: 74,332.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,041.88 : 175,478.96 = 49,578.46 : x
  2. Step 2: Convert to fraction form
    117,041.88/175,478.96 = 49,578.46/x
  3. Step 3: Cross multiply
    117,041.88x = 175,478.96 × 49,578.46
  4. Step 4: Simplify right side
    117,041.88x = 8,699,976,599.20
  5. Step 5: Solve for x
    x = 8,699,976,599.20/117,041.88
  6. Step 6: Final answer
    x = 74,332.17

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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.