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Finding the Fourth Proportional to 82,210.60, 123,314.94 and 32,962.60

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Solution

The fourth proportional to 82,210.60, 123,314.94 and 32,962.60 is: 49,443.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,210.60 : 123,314.94 = 32,962.60 : x
  2. Step 2: Convert to fraction form
    82,210.60/123,314.94 = 32,962.60/x
  3. Step 3: Cross multiply
    82,210.60x = 123,314.94 × 32,962.60
  4. Step 4: Simplify right side
    82,210.60x = 4,064,781,041.24
  5. Step 5: Solve for x
    x = 4,064,781,041.24/82,210.60
  6. Step 6: Final answer
    x = 49,443.52

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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.