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Finding the Fourth Proportional to 82,303.01, 123,430.10 and 34,917.47

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Solution

The fourth proportional to 82,303.01, 123,430.10 and 34,917.47 is: 52,365.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,303.01 : 123,430.10 = 34,917.47 : x
  2. Step 2: Convert to fraction form
    82,303.01/123,430.10 = 34,917.47/x
  3. Step 3: Cross multiply
    82,303.01x = 123,430.10 × 34,917.47
  4. Step 4: Simplify right side
    82,303.01x = 4,309,866,283.99
  5. Step 5: Solve for x
    x = 4,309,866,283.99/82,303.01
  6. Step 6: Final answer
    x = 52,365.84

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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.