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Finding the Fourth Proportional to 58,282, 80,429.20 and 31,786

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Solution

The fourth proportional to 58,282, 80,429.20 and 31,786 is: 43,864.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,282 : 80,429.20 = 31,786 : x
  2. Step 2: Convert to fraction form
    58,282/80,429.20 = 31,786/x
  3. Step 3: Cross multiply
    58,282x = 80,429.20 × 31,786
  4. Step 4: Simplify right side
    58,282x = 2,556,522,551.20
  5. Step 5: Solve for x
    x = 2,556,522,551.20/58,282
  6. Step 6: Final answer
    x = 43,864.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.