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Finding the Fourth Proportional to 69,228.30, 103,696.65 and 56,106.30

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Solution

The fourth proportional to 69,228.30, 103,696.65 and 56,106.30 is: 84,041.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,228.30 : 103,696.65 = 56,106.30 : x
  2. Step 2: Convert to fraction form
    69,228.30/103,696.65 = 56,106.30/x
  3. Step 3: Cross multiply
    69,228.30x = 103,696.65 × 56,106.30
  4. Step 4: Simplify right side
    69,228.30x = 5,818,035,353.90
  5. Step 5: Solve for x
    x = 5,818,035,353.90/69,228.30
  6. Step 6: Final answer
    x = 84,041.29

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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.