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Finding the Fourth Proportional to 27,254.34, 40,881.42 and 7,532.76

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Solution

The fourth proportional to 27,254.34, 40,881.42 and 7,532.76 is: 11,299.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,254.34 : 40,881.42 = 7,532.76 : x
  2. Step 2: Convert to fraction form
    27,254.34/40,881.42 = 7,532.76/x
  3. Step 3: Cross multiply
    27,254.34x = 40,881.42 × 7,532.76
  4. Step 4: Simplify right side
    27,254.34x = 307,949,925.32
  5. Step 5: Solve for x
    x = 307,949,925.32/27,254.34
  6. Step 6: Final answer
    x = 11,299.12

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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.