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Finding the Fourth Proportional to 70,386.40, 105,596.13 and 20,467.57

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Solution

The fourth proportional to 70,386.40, 105,596.13 and 20,467.57 is: 30,706.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,386.40 : 105,596.13 = 20,467.57 : x
  2. Step 2: Convert to fraction form
    70,386.40/105,596.13 = 20,467.57/x
  3. Step 3: Cross multiply
    70,386.40x = 105,596.13 × 20,467.57
  4. Step 4: Simplify right side
    70,386.40x = 2,161,296,182.50
  5. Step 5: Solve for x
    x = 2,161,296,182.50/70,386.40
  6. Step 6: Final answer
    x = 30,706.16

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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.