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Finding the Fourth Proportional to 97,382.17, 134,384.43 and 57,095.20

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Solution

The fourth proportional to 97,382.17, 134,384.43 and 57,095.20 is: 78,789.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,382.17 : 134,384.43 = 57,095.20 : x
  2. Step 2: Convert to fraction form
    97,382.17/134,384.43 = 57,095.20/x
  3. Step 3: Cross multiply
    97,382.17x = 134,384.43 × 57,095.20
  4. Step 4: Simplify right side
    97,382.17x = 7,672,705,907.74
  5. Step 5: Solve for x
    x = 7,672,705,907.74/97,382.17
  6. Step 6: Final answer
    x = 78,789.64

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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.