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Finding the Fourth Proportional to 65,585.28, 90,507.84 and 35,779.20

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Solution

The fourth proportional to 65,585.28, 90,507.84 and 35,779.20 is: 49,375.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,585.28 : 90,507.84 = 35,779.20 : x
  2. Step 2: Convert to fraction form
    65,585.28/90,507.84 = 35,779.20/x
  3. Step 3: Cross multiply
    65,585.28x = 90,507.84 × 35,779.20
  4. Step 4: Simplify right side
    65,585.28x = 3,238,298,108.93
  5. Step 5: Solve for x
    x = 3,238,298,108.93/65,585.28
  6. Step 6: Final answer
    x = 49,375.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.