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Finding the Fourth Proportional to 65,746.56, 90,502.20 and 57,348.48

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Solution

The fourth proportional to 65,746.56, 90,502.20 and 57,348.48 is: 78,941.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,746.56 : 90,502.20 = 57,348.48 : x
  2. Step 2: Convert to fraction form
    65,746.56/90,502.20 = 57,348.48/x
  3. Step 3: Cross multiply
    65,746.56x = 90,502.20 × 57,348.48
  4. Step 4: Simplify right side
    65,746.56x = 5,190,163,606.66
  5. Step 5: Solve for x
    x = 5,190,163,606.66/65,746.56
  6. Step 6: Final answer
    x = 78,941.98

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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.