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Finding the Fourth Proportional to 38,498.50, 53,127.93 and 20,834.50

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Solution

The fourth proportional to 38,498.50, 53,127.93 and 20,834.50 is: 28,751.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,498.50 : 53,127.93 = 20,834.50 : x
  2. Step 2: Convert to fraction form
    38,498.50/53,127.93 = 20,834.50/x
  3. Step 3: Cross multiply
    38,498.50x = 53,127.93 × 20,834.50
  4. Step 4: Simplify right side
    38,498.50x = 1,106,893,857.59
  5. Step 5: Solve for x
    x = 1,106,893,857.59/38,498.50
  6. Step 6: Final answer
    x = 28,751.61

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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.