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Finding the Fourth Proportional to 36,978.24, 55,472.04 and 14,486.08

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Solution

The fourth proportional to 36,978.24, 55,472.04 and 14,486.08 is: 21,730.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978.24 : 55,472.04 = 14,486.08 : x
  2. Step 2: Convert to fraction form
    36,978.24/55,472.04 = 14,486.08/x
  3. Step 3: Cross multiply
    36,978.24x = 55,472.04 × 14,486.08
  4. Step 4: Simplify right side
    36,978.24x = 803,572,409.20
  5. Step 5: Solve for x
    x = 803,572,409.20/36,978.24
  6. Step 6: Final answer
    x = 21,730.95

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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.