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Finding the Fourth Proportional to 25,532.16, 38,074.80 and 25,298.88

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Solution

The fourth proportional to 25,532.16, 38,074.80 and 25,298.88 is: 37,726.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,532.16 : 38,074.80 = 25,298.88 : x
  2. Step 2: Convert to fraction form
    25,532.16/38,074.80 = 25,298.88/x
  3. Step 3: Cross multiply
    25,532.16x = 38,074.80 × 25,298.88
  4. Step 4: Simplify right side
    25,532.16x = 963,249,796.22
  5. Step 5: Solve for x
    x = 963,249,796.22/25,532.16
  6. Step 6: Final answer
    x = 37,726.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.