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Finding the Fourth Proportional to 71,132.64, 106,696.53 and 33,710.64

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Solution

The fourth proportional to 71,132.64, 106,696.53 and 33,710.64 is: 50,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,132.64 : 106,696.53 = 33,710.64 : x
  2. Step 2: Convert to fraction form
    71,132.64/106,696.53 = 33,710.64/x
  3. Step 3: Cross multiply
    71,132.64x = 106,696.53 × 33,710.64
  4. Step 4: Simplify right side
    71,132.64x = 3,596,808,312.08
  5. Step 5: Solve for x
    x = 3,596,808,312.08/71,132.64
  6. Step 6: Final answer
    x = 50,564.81

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Why These Related Problems?

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