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Finding the Fourth Proportional to 45,776.16, 63,176.40 and 27,881.64

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Solution

The fourth proportional to 45,776.16, 63,176.40 and 27,881.64 is: 38,479.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,776.16 : 63,176.40 = 27,881.64 : x
  2. Step 2: Convert to fraction form
    45,776.16/63,176.40 = 27,881.64/x
  3. Step 3: Cross multiply
    45,776.16x = 63,176.40 × 27,881.64
  4. Step 4: Simplify right side
    45,776.16x = 1,761,461,641.30
  5. Step 5: Solve for x
    x = 1,761,461,641.30/45,776.16
  6. Step 6: Final answer
    x = 38,479.89

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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.