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Finding the Fourth Proportional to 56,024, 84,006.32 and 16,575.68

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Solution

The fourth proportional to 56,024, 84,006.32 and 16,575.68 is: 24,854.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,024 : 84,006.32 = 16,575.68 : x
  2. Step 2: Convert to fraction form
    56,024/84,006.32 = 16,575.68/x
  3. Step 3: Cross multiply
    56,024x = 84,006.32 × 16,575.68
  4. Step 4: Simplify right side
    56,024x = 1,392,461,878.30
  5. Step 5: Solve for x
    x = 1,392,461,878.30/56,024
  6. Step 6: Final answer
    x = 24,854.74

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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.