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Finding the Fourth Proportional to 97,382.04, 134,393.97 and 54,370

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Solution

The fourth proportional to 97,382.04, 134,393.97 and 54,370 is: 75,034.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,382.04 : 134,393.97 = 54,370 : x
  2. Step 2: Convert to fraction form
    97,382.04/134,393.97 = 54,370/x
  3. Step 3: Cross multiply
    97,382.04x = 134,393.97 × 54,370
  4. Step 4: Simplify right side
    97,382.04x = 7,307,000,148.90
  5. Step 5: Solve for x
    x = 7,307,000,148.90/97,382.04
  6. Step 6: Final answer
    x = 75,034.37

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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.