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Finding the Fourth Proportional to 103,282.50, 142,529.85 and 58,570.50

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Solution

The fourth proportional to 103,282.50, 142,529.85 and 58,570.50 is: 80,827.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,282.50 : 142,529.85 = 58,570.50 : x
  2. Step 2: Convert to fraction form
    103,282.50/142,529.85 = 58,570.50/x
  3. Step 3: Cross multiply
    103,282.50x = 142,529.85 × 58,570.50
  4. Step 4: Simplify right side
    103,282.50x = 8,348,044,579.43
  5. Step 5: Solve for x
    x = 8,348,044,579.43/103,282.50
  6. Step 6: Final answer
    x = 80,827.29

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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.