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Finding the Fourth Proportional to 47,952.91, 66,178.62 and 27,809.63

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Solution

The fourth proportional to 47,952.91, 66,178.62 and 27,809.63 is: 38,379.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,952.91 : 66,178.62 = 27,809.63 : x
  2. Step 2: Convert to fraction form
    47,952.91/66,178.62 = 27,809.63/x
  3. Step 3: Cross multiply
    47,952.91x = 66,178.62 × 27,809.63
  4. Step 4: Simplify right side
    47,952.91x = 1,840,402,605.22
  5. Step 5: Solve for x
    x = 1,840,402,605.22/47,952.91
  6. Step 6: Final answer
    x = 38,379.38

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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.