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Finding the Fourth Proportional to 83,275.50, 124,904.07 and 20,946

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Solution

The fourth proportional to 83,275.50, 124,904.07 and 20,946 is: 31,416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,275.50 : 124,904.07 = 20,946 : x
  2. Step 2: Convert to fraction form
    83,275.50/124,904.07 = 20,946/x
  3. Step 3: Cross multiply
    83,275.50x = 124,904.07 × 20,946
  4. Step 4: Simplify right side
    83,275.50x = 2,616,240,650.22
  5. Step 5: Solve for x
    x = 2,616,240,650.22/83,275.50
  6. Step 6: Final answer
    x = 31,416.69

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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.