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Finding the Fourth Proportional to 70,215.76, 105,323.62 and 28,114.80

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Solution

The fourth proportional to 70,215.76, 105,323.62 and 28,114.80 is: 42,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,215.76 : 105,323.62 = 28,114.80 : x
  2. Step 2: Convert to fraction form
    70,215.76/105,323.62 = 28,114.80/x
  3. Step 3: Cross multiply
    70,215.76x = 105,323.62 × 28,114.80
  4. Step 4: Simplify right side
    70,215.76x = 2,961,152,511.58
  5. Step 5: Solve for x
    x = 2,961,152,511.58/70,215.76
  6. Step 6: Final answer
    x = 42,172.19

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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.