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Finding the Fourth Proportional to 54,549.95, 81,824.10 and 24,543.00

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Solution

The fourth proportional to 54,549.95, 81,824.10 and 24,543.00 is: 36,814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,549.95 : 81,824.10 = 24,543.00 : x
  2. Step 2: Convert to fraction form
    54,549.95/81,824.10 = 24,543.00/x
  3. Step 3: Cross multiply
    54,549.95x = 81,824.10 × 24,543.00
  4. Step 4: Simplify right side
    54,549.95x = 2,008,208,354.46
  5. Step 5: Solve for x
    x = 2,008,208,354.46/54,549.95
  6. Step 6: Final answer
    x = 36,814.12

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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.