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Finding the Fourth Proportional to 76,655.78, 105,784.95 and 43,121.78

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Solution

The fourth proportional to 76,655.78, 105,784.95 and 43,121.78 is: 59,508.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,655.78 : 105,784.95 = 43,121.78 : x
  2. Step 2: Convert to fraction form
    76,655.78/105,784.95 = 43,121.78/x
  3. Step 3: Cross multiply
    76,655.78x = 105,784.95 × 43,121.78
  4. Step 4: Simplify right side
    76,655.78x = 4,561,635,341.21
  5. Step 5: Solve for x
    x = 4,561,635,341.21/76,655.78
  6. Step 6: Final answer
    x = 59,508.04

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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.