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Finding the Fourth Proportional to 105,759.88, 145,948.50 and 58,013.44

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Solution

The fourth proportional to 105,759.88, 145,948.50 and 58,013.44 is: 80,058.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,759.88 : 145,948.50 = 58,013.44 : x
  2. Step 2: Convert to fraction form
    105,759.88/145,948.50 = 58,013.44/x
  3. Step 3: Cross multiply
    105,759.88x = 145,948.50 × 58,013.44
  4. Step 4: Simplify right side
    105,759.88x = 8,466,974,547.84
  5. Step 5: Solve for x
    x = 8,466,974,547.84/105,759.88
  6. Step 6: Final answer
    x = 80,058.47

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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.