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Finding the Fourth Proportional to 48,191.74, 72,312.32 and 23,253.06

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Solution

The fourth proportional to 48,191.74, 72,312.32 and 23,253.06 is: 34,891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,191.74 : 72,312.32 = 23,253.06 : x
  2. Step 2: Convert to fraction form
    48,191.74/72,312.32 = 23,253.06/x
  3. Step 3: Cross multiply
    48,191.74x = 72,312.32 × 23,253.06
  4. Step 4: Simplify right side
    48,191.74x = 1,681,482,237.87
  5. Step 5: Solve for x
    x = 1,681,482,237.87/48,191.74
  6. Step 6: Final answer
    x = 34,891.50

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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.