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Finding the Fourth Proportional to 38,473.61, 53,082 and 37,205.15

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Solution

The fourth proportional to 38,473.61, 53,082 and 37,205.15 is: 51,331.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,473.61 : 53,082 = 37,205.15 : x
  2. Step 2: Convert to fraction form
    38,473.61/53,082 = 37,205.15/x
  3. Step 3: Cross multiply
    38,473.61x = 53,082 × 37,205.15
  4. Step 4: Simplify right side
    38,473.61x = 1,974,923,506.89
  5. Step 5: Solve for x
    x = 1,974,923,506.89/38,473.61
  6. Step 6: Final answer
    x = 51,331.91

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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.