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Finding the Fourth Proportional to 65,686.52, 90,642.24 and 37,004.63

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Solution

The fourth proportional to 65,686.52, 90,642.24 and 37,004.63 is: 51,063.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,686.52 : 90,642.24 = 37,004.63 : x
  2. Step 2: Convert to fraction form
    65,686.52/90,642.24 = 37,004.63/x
  3. Step 3: Cross multiply
    65,686.52x = 90,642.24 × 37,004.63
  4. Step 4: Simplify right side
    65,686.52x = 3,354,182,100.36
  5. Step 5: Solve for x
    x = 3,354,182,100.36/65,686.52
  6. Step 6: Final answer
    x = 51,063.48

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1.5x scale

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.