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Finding the Fourth Proportional to 65,741.48, 90,643.86 and 45,615.56

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Solution

The fourth proportional to 65,741.48, 90,643.86 and 45,615.56 is: 62,894.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,741.48 : 90,643.86 = 45,615.56 : x
  2. Step 2: Convert to fraction form
    65,741.48/90,643.86 = 45,615.56/x
  3. Step 3: Cross multiply
    65,741.48x = 90,643.86 × 45,615.56
  4. Step 4: Simplify right side
    65,741.48x = 4,134,770,434.46
  5. Step 5: Solve for x
    x = 4,134,770,434.46/65,741.48
  6. Step 6: Final answer
    x = 62,894.39

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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.