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Finding the Fourth Proportional to 34,061.48, 51,094.77 and 9,100.97

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Solution

The fourth proportional to 34,061.48, 51,094.77 and 9,100.97 is: 13,652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,061.48 : 51,094.77 = 9,100.97 : x
  2. Step 2: Convert to fraction form
    34,061.48/51,094.77 = 9,100.97/x
  3. Step 3: Cross multiply
    34,061.48x = 51,094.77 × 9,100.97
  4. Step 4: Simplify right side
    34,061.48x = 465,011,968.93
  5. Step 5: Solve for x
    x = 465,011,968.93/34,061.48
  6. Step 6: Final answer
    x = 13,652.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.