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Finding the Fourth Proportional to 27,225.46, 40,848.75 and 10,597.17

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Solution

The fourth proportional to 27,225.46, 40,848.75 and 10,597.17 is: 15,899.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,225.46 : 40,848.75 = 10,597.17 : x
  2. Step 2: Convert to fraction form
    27,225.46/40,848.75 = 10,597.17/x
  3. Step 3: Cross multiply
    27,225.46x = 40,848.75 × 10,597.17
  4. Step 4: Simplify right side
    27,225.46x = 432,881,148.04
  5. Step 5: Solve for x
    x = 432,881,148.04/27,225.46
  6. Step 6: Final answer
    x = 15,899.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.