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Finding the Fourth Proportional to 65,347.32, 90,179.32 and 37,053

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Solution

The fourth proportional to 65,347.32, 90,179.32 and 37,053 is: 51,133.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,347.32 : 90,179.32 = 37,053 : x
  2. Step 2: Convert to fraction form
    65,347.32/90,179.32 = 37,053/x
  3. Step 3: Cross multiply
    65,347.32x = 90,179.32 × 37,053
  4. Step 4: Simplify right side
    65,347.32x = 3,341,414,343.96
  5. Step 5: Solve for x
    x = 3,341,414,343.96/65,347.32
  6. Step 6: Final answer
    x = 51,133.15

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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.