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Finding the Fourth Proportional to 38,014.68, 52,458.72 and 22,097.88

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Solution

The fourth proportional to 38,014.68, 52,458.72 and 22,097.88 is: 30,494.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,014.68 : 52,458.72 = 22,097.88 : x
  2. Step 2: Convert to fraction form
    38,014.68/52,458.72 = 22,097.88/x
  3. Step 3: Cross multiply
    38,014.68x = 52,458.72 × 22,097.88
  4. Step 4: Simplify right side
    38,014.68x = 1,159,226,499.51
  5. Step 5: Solve for x
    x = 1,159,226,499.51/38,014.68
  6. Step 6: Final answer
    x = 30,494.18

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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.