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Finding the Fourth Proportional to 49,178.64, 67,866.72 and 27,962.32

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Solution

The fourth proportional to 49,178.64, 67,866.72 and 27,962.32 is: 38,588.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,178.64 : 67,866.72 = 27,962.32 : x
  2. Step 2: Convert to fraction form
    49,178.64/67,866.72 = 27,962.32/x
  3. Step 3: Cross multiply
    49,178.64x = 67,866.72 × 27,962.32
  4. Step 4: Simplify right side
    49,178.64x = 1,897,710,941.99
  5. Step 5: Solve for x
    x = 1,897,710,941.99/49,178.64
  6. Step 6: Final answer
    x = 38,588.11

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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.