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Finding the Fourth Proportional to 38,647.84, 57,625.60 and 37,948

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Solution

The fourth proportional to 38,647.84, 57,625.60 and 37,948 is: 56,582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,647.84 : 57,625.60 = 37,948 : x
  2. Step 2: Convert to fraction form
    38,647.84/57,625.60 = 37,948/x
  3. Step 3: Cross multiply
    38,647.84x = 57,625.60 × 37,948
  4. Step 4: Simplify right side
    38,647.84x = 2,186,776,268.80
  5. Step 5: Solve for x
    x = 2,186,776,268.80/38,647.84
  6. Step 6: Final answer
    x = 56,582.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.