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Finding the Fourth Proportional to 70,264.19, 105,397.65 and 25,868.09

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Solution

The fourth proportional to 70,264.19, 105,397.65 and 25,868.09 is: 38,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,264.19 : 105,397.65 = 25,868.09 : x
  2. Step 2: Convert to fraction form
    70,264.19/105,397.65 = 25,868.09/x
  3. Step 3: Cross multiply
    70,264.19x = 105,397.65 × 25,868.09
  4. Step 4: Simplify right side
    70,264.19x = 2,726,435,895.99
  5. Step 5: Solve for x
    x = 2,726,435,895.99/70,264.19
  6. Step 6: Final answer
    x = 38,802.64

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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.