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Finding the Fourth Proportional to 65,407.32, 90,259.38 and 37,114.56

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Solution

The fourth proportional to 65,407.32, 90,259.38 and 37,114.56 is: 51,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,407.32 : 90,259.38 = 37,114.56 : x
  2. Step 2: Convert to fraction form
    65,407.32/90,259.38 = 37,114.56/x
  3. Step 3: Cross multiply
    65,407.32x = 90,259.38 × 37,114.56
  4. Step 4: Simplify right side
    65,407.32x = 3,349,937,174.57
  5. Step 5: Solve for x
    x = 3,349,937,174.57/65,407.32
  6. Step 6: Final answer
    x = 51,216.55

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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.