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Finding the Fourth Proportional to 77,357.92, 116,038.50 and 24,767.25

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Solution

The fourth proportional to 77,357.92, 116,038.50 and 24,767.25 is: 37,151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,357.92 : 116,038.50 = 24,767.25 : x
  2. Step 2: Convert to fraction form
    77,357.92/116,038.50 = 24,767.25/x
  3. Step 3: Cross multiply
    77,357.92x = 116,038.50 × 24,767.25
  4. Step 4: Simplify right side
    77,357.92x = 2,873,954,539.13
  5. Step 5: Solve for x
    x = 2,873,954,539.13/77,357.92
  6. Step 6: Final answer
    x = 37,151.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.