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Finding the Fourth Proportional to 38,497.50, 53,126.55 and 20,833.50

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Solution

The fourth proportional to 38,497.50, 53,126.55 and 20,833.50 is: 28,750.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497.50 : 53,126.55 = 20,833.50 : x
  2. Step 2: Convert to fraction form
    38,497.50/53,126.55 = 20,833.50/x
  3. Step 3: Cross multiply
    38,497.50x = 53,126.55 × 20,833.50
  4. Step 4: Simplify right side
    38,497.50x = 1,106,811,979.43
  5. Step 5: Solve for x
    x = 1,106,811,979.43/38,497.50
  6. Step 6: Final answer
    x = 28,750.23

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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.