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Finding the Fourth Proportional to 35,402.88, 53,069.76 and 24,182.40

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Solution

The fourth proportional to 35,402.88, 53,069.76 and 24,182.40 is: 36,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,402.88 : 53,069.76 = 24,182.40 : x
  2. Step 2: Convert to fraction form
    35,402.88/53,069.76 = 24,182.40/x
  3. Step 3: Cross multiply
    35,402.88x = 53,069.76 × 24,182.40
  4. Step 4: Simplify right side
    35,402.88x = 1,283,354,164.22
  5. Step 5: Solve for x
    x = 1,283,354,164.22/35,402.88
  6. Step 6: Final answer
    x = 36,249.99

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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.