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Finding the Fourth Proportional to 55,922.32, 77,172.51 and 32,048.38

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Solution

The fourth proportional to 55,922.32, 77,172.51 and 32,048.38 is: 44,226.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,922.32 : 77,172.51 = 32,048.38 : x
  2. Step 2: Convert to fraction form
    55,922.32/77,172.51 = 32,048.38/x
  3. Step 3: Cross multiply
    55,922.32x = 77,172.51 × 32,048.38
  4. Step 4: Simplify right side
    55,922.32x = 2,473,253,926.03
  5. Step 5: Solve for x
    x = 2,473,253,926.03/55,922.32
  6. Step 6: Final answer
    x = 44,226.60

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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.