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Finding the Fourth Proportional to 39,077.68, 53,924.64 and 24,929

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Solution

The fourth proportional to 39,077.68, 53,924.64 and 24,929 is: 34,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,077.68 : 53,924.64 = 24,929 : x
  2. Step 2: Convert to fraction form
    39,077.68/53,924.64 = 24,929/x
  3. Step 3: Cross multiply
    39,077.68x = 53,924.64 × 24,929
  4. Step 4: Simplify right side
    39,077.68x = 1,344,287,350.56
  5. Step 5: Solve for x
    x = 1,344,287,350.56/39,077.68
  6. Step 6: Final answer
    x = 34,400.39

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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.