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Finding the Fourth Proportional to 71,802.48, 107,703.78 and 32,313.48

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Solution

The fourth proportional to 71,802.48, 107,703.78 and 32,313.48 is: 48,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,802.48 : 107,703.78 = 32,313.48 : x
  2. Step 2: Convert to fraction form
    71,802.48/107,703.78 = 32,313.48/x
  3. Step 3: Cross multiply
    71,802.48x = 107,703.78 × 32,313.48
  4. Step 4: Simplify right side
    71,802.48x = 3,480,283,940.95
  5. Step 5: Solve for x
    x = 3,480,283,940.95/71,802.48
  6. Step 6: Final answer
    x = 48,470.25

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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.