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Finding the Fourth Proportional to 83,791, 115,632.40 and 46,066.08

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Solution

The fourth proportional to 83,791, 115,632.40 and 46,066.08 is: 63,571.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,791 : 115,632.40 = 46,066.08 : x
  2. Step 2: Convert to fraction form
    83,791/115,632.40 = 46,066.08/x
  3. Step 3: Cross multiply
    83,791x = 115,632.40 × 46,066.08
  4. Step 4: Simplify right side
    83,791x = 5,326,731,388.99
  5. Step 5: Solve for x
    x = 5,326,731,388.99/83,791
  6. Step 6: Final answer
    x = 63,571.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.