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Finding the Fourth Proportional to 61,743.16, 85,200.50 and 34,888

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Solution

The fourth proportional to 61,743.16, 85,200.50 and 34,888 is: 48,142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,743.16 : 85,200.50 = 34,888 : x
  2. Step 2: Convert to fraction form
    61,743.16/85,200.50 = 34,888/x
  3. Step 3: Cross multiply
    61,743.16x = 85,200.50 × 34,888
  4. Step 4: Simplify right side
    61,743.16x = 2,972,475,044
  5. Step 5: Solve for x
    x = 2,972,475,044/61,743.16
  6. Step 6: Final answer
    x = 48,142.58

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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.