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Finding the Fourth Proportional to 37,306, 51,485.98 and 27,858.16

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Solution

The fourth proportional to 37,306, 51,485.98 and 27,858.16 is: 38,447.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,306 : 51,485.98 = 27,858.16 : x
  2. Step 2: Convert to fraction form
    37,306/51,485.98 = 27,858.16/x
  3. Step 3: Cross multiply
    37,306x = 51,485.98 × 27,858.16
  4. Step 4: Simplify right side
    37,306x = 1,434,304,668.60
  5. Step 5: Solve for x
    x = 1,434,304,668.60/37,306
  6. Step 6: Final answer
    x = 38,447.02

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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.