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Finding the Fourth Proportional to 37,300.78, 55,931.92 and 11,002.10

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Solution

The fourth proportional to 37,300.78, 55,931.92 and 11,002.10 is: 16,497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,300.78 : 55,931.92 = 11,002.10 : x
  2. Step 2: Convert to fraction form
    37,300.78/55,931.92 = 11,002.10/x
  3. Step 3: Cross multiply
    37,300.78x = 55,931.92 × 11,002.10
  4. Step 4: Simplify right side
    37,300.78x = 615,368,577.03
  5. Step 5: Solve for x
    x = 615,368,577.03/37,300.78
  6. Step 6: Final answer
    x = 16,497.47

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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.