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Finding the Fourth Proportional to 37,254, 55,884.24 and 9,552

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Solution

The fourth proportional to 37,254, 55,884.24 and 9,552 is: 14,328.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,254 : 55,884.24 = 9,552 : x
  2. Step 2: Convert to fraction form
    37,254/55,884.24 = 9,552/x
  3. Step 3: Cross multiply
    37,254x = 55,884.24 × 9,552
  4. Step 4: Simplify right side
    37,254x = 533,806,260.48
  5. Step 5: Solve for x
    x = 533,806,260.48/37,254
  6. Step 6: Final answer
    x = 14,328.83

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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.