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Finding the Fourth Proportional to 77,824.30, 107,393.13 and 45,996.16

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Solution

The fourth proportional to 77,824.30, 107,393.13 and 45,996.16 is: 63,472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,824.30 : 107,393.13 = 45,996.16 : x
  2. Step 2: Convert to fraction form
    77,824.30/107,393.13 = 45,996.16/x
  3. Step 3: Cross multiply
    77,824.30x = 107,393.13 × 45,996.16
  4. Step 4: Simplify right side
    77,824.30x = 4,939,671,590.38
  5. Step 5: Solve for x
    x = 4,939,671,590.38/77,824.30
  6. Step 6: Final answer
    x = 63,472.10

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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.