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Finding the Fourth Proportional to 55,924, 77,175.38 and 32,052.08

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Solution

The fourth proportional to 55,924, 77,175.38 and 32,052.08 is: 44,232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,924 : 77,175.38 = 32,052.08 : x
  2. Step 2: Convert to fraction form
    55,924/77,175.38 = 32,052.08/x
  3. Step 3: Cross multiply
    55,924x = 77,175.38 × 32,052.08
  4. Step 4: Simplify right side
    55,924x = 2,473,631,453.79
  5. Step 5: Solve for x
    x = 2,473,631,453.79/55,924
  6. Step 6: Final answer
    x = 44,232.02

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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.