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Finding the Fourth Proportional to 51,875.90, 71,587.80 and 29,214.80

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Solution

The fourth proportional to 51,875.90, 71,587.80 and 29,214.80 is: 40,315.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,875.90 : 71,587.80 = 29,214.80 : x
  2. Step 2: Convert to fraction form
    51,875.90/71,587.80 = 29,214.80/x
  3. Step 3: Cross multiply
    51,875.90x = 71,587.80 × 29,214.80
  4. Step 4: Simplify right side
    51,875.90x = 2,091,423,259.44
  5. Step 5: Solve for x
    x = 2,091,423,259.44/51,875.90
  6. Step 6: Final answer
    x = 40,315.89

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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.