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Finding the Fourth Proportional to 56,397.99, 77,824.06 and 32,520.05

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Solution

The fourth proportional to 56,397.99, 77,824.06 and 32,520.05 is: 44,874.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,397.99 : 77,824.06 = 32,520.05 : x
  2. Step 2: Convert to fraction form
    56,397.99/77,824.06 = 32,520.05/x
  3. Step 3: Cross multiply
    56,397.99x = 77,824.06 × 32,520.05
  4. Step 4: Simplify right side
    56,397.99x = 2,530,842,322.40
  5. Step 5: Solve for x
    x = 2,530,842,322.40/56,397.99
  6. Step 6: Final answer
    x = 44,874.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.