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Finding the Fourth Proportional to 56,395.80, 77,824.08 and 32,523.48

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Solution

The fourth proportional to 56,395.80, 77,824.08 and 32,523.48 is: 44,881.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,395.80 : 77,824.08 = 32,523.48 : x
  2. Step 2: Convert to fraction form
    56,395.80/77,824.08 = 32,523.48/x
  3. Step 3: Cross multiply
    56,395.80x = 77,824.08 × 32,523.48
  4. Step 4: Simplify right side
    56,395.80x = 2,531,109,909.40
  5. Step 5: Solve for x
    x = 2,531,109,909.40/56,395.80
  6. Step 6: Final answer
    x = 44,881.18

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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.