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Finding the Fourth Proportional to 69,152.84, 103,645.02 and 35,854.58

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Solution

The fourth proportional to 69,152.84, 103,645.02 and 35,854.58 is: 53,738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,152.84 : 103,645.02 = 35,854.58 : x
  2. Step 2: Convert to fraction form
    69,152.84/103,645.02 = 35,854.58/x
  3. Step 3: Cross multiply
    69,152.84x = 103,645.02 × 35,854.58
  4. Step 4: Simplify right side
    69,152.84x = 3,716,148,661.19
  5. Step 5: Solve for x
    x = 3,716,148,661.19/69,152.84
  6. Step 6: Final answer
    x = 53,738.19

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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.