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Finding the Fourth Proportional to 103,972.32, 143,482.13 and 56,226

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Solution

The fourth proportional to 103,972.32, 143,482.13 and 56,226 is: 77,592.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,972.32 : 143,482.13 = 56,226 : x
  2. Step 2: Convert to fraction form
    103,972.32/143,482.13 = 56,226/x
  3. Step 3: Cross multiply
    103,972.32x = 143,482.13 × 56,226
  4. Step 4: Simplify right side
    103,972.32x = 8,067,426,241.38
  5. Step 5: Solve for x
    x = 8,067,426,241.38/103,972.32
  6. Step 6: Final answer
    x = 77,592.06

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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.