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Finding the Fourth Proportional to 55,098.48, 76,036.08 and 29,948

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Solution

The fourth proportional to 55,098.48, 76,036.08 and 29,948 is: 41,328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,098.48 : 76,036.08 = 29,948 : x
  2. Step 2: Convert to fraction form
    55,098.48/76,036.08 = 29,948/x
  3. Step 3: Cross multiply
    55,098.48x = 76,036.08 × 29,948
  4. Step 4: Simplify right side
    55,098.48x = 2,277,128,523.84
  5. Step 5: Solve for x
    x = 2,277,128,523.84/55,098.48
  6. Step 6: Final answer
    x = 41,328.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.