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Finding the Fourth Proportional to 82,405.63, 123,602.23 and 26,243.47

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Solution

The fourth proportional to 82,405.63, 123,602.23 and 26,243.47 is: 39,363.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,405.63 : 123,602.23 = 26,243.47 : x
  2. Step 2: Convert to fraction form
    82,405.63/123,602.23 = 26,243.47/x
  3. Step 3: Cross multiply
    82,405.63x = 123,602.23 × 26,243.47
  4. Step 4: Simplify right side
    82,405.63x = 3,243,750,731.32
  5. Step 5: Solve for x
    x = 3,243,750,731.32/82,405.63
  6. Step 6: Final answer
    x = 39,363.22

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1.5x scale

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.