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Finding the Fourth Proportional to 64,686.96, 89,254.64 and 37,824.24

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Solution

The fourth proportional to 64,686.96, 89,254.64 and 37,824.24 is: 52,189.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,686.96 : 89,254.64 = 37,824.24 : x
  2. Step 2: Convert to fraction form
    64,686.96/89,254.64 = 37,824.24/x
  3. Step 3: Cross multiply
    64,686.96x = 89,254.64 × 37,824.24
  4. Step 4: Simplify right side
    64,686.96x = 3,375,988,924.47
  5. Step 5: Solve for x
    x = 3,375,988,924.47/64,686.96
  6. Step 6: Final answer
    x = 52,189.64

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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.