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Finding the Fourth Proportional to 58,948, 81,356.48 and 37,772.38

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Solution

The fourth proportional to 58,948, 81,356.48 and 37,772.38 is: 52,131.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,948 : 81,356.48 = 37,772.38 : x
  2. Step 2: Convert to fraction form
    58,948/81,356.48 = 37,772.38/x
  3. Step 3: Cross multiply
    58,948x = 81,356.48 × 37,772.38
  4. Step 4: Simplify right side
    58,948x = 3,073,027,878.02
  5. Step 5: Solve for x
    x = 3,073,027,878.02/58,948
  6. Step 6: Final answer
    x = 52,131.16

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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.