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Finding the Fourth Proportional to 71,283.02, 106,711.50 and 43,117.84

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Solution

The fourth proportional to 71,283.02, 106,711.50 and 43,117.84 is: 64,547.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,283.02 : 106,711.50 = 43,117.84 : x
  2. Step 2: Convert to fraction form
    71,283.02/106,711.50 = 43,117.84/x
  3. Step 3: Cross multiply
    71,283.02x = 106,711.50 × 43,117.84
  4. Step 4: Simplify right side
    71,283.02x = 4,601,169,383.16
  5. Step 5: Solve for x
    x = 4,601,169,383.16/71,283.02
  6. Step 6: Final answer
    x = 64,547.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.