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Finding the Fourth Proportional to 103,476, 142,797.06 and 58,764

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Solution

The fourth proportional to 103,476, 142,797.06 and 58,764 is: 81,094.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,476 : 142,797.06 = 58,764 : x
  2. Step 2: Convert to fraction form
    103,476/142,797.06 = 58,764/x
  3. Step 3: Cross multiply
    103,476x = 142,797.06 × 58,764
  4. Step 4: Simplify right side
    103,476x = 8,391,326,433.84
  5. Step 5: Solve for x
    x = 8,391,326,433.84/103,476
  6. Step 6: Final answer
    x = 81,094.42

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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.