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Finding the Fourth Proportional to 48,250.96, 72,458.66 and 31,412.65

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Solution

The fourth proportional to 48,250.96, 72,458.66 and 31,412.65 is: 47,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,250.96 : 72,458.66 = 31,412.65 : x
  2. Step 2: Convert to fraction form
    48,250.96/72,458.66 = 31,412.65/x
  3. Step 3: Cross multiply
    48,250.96x = 72,458.66 × 31,412.65
  4. Step 4: Simplify right side
    48,250.96x = 2,276,118,526.05
  5. Step 5: Solve for x
    x = 2,276,118,526.05/48,250.96
  6. Step 6: Final answer
    x = 47,172.50

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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.