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Finding the Fourth Proportional to 53,713.80, 74,116.80 and 31,048.38

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Solution

The fourth proportional to 53,713.80, 74,116.80 and 31,048.38 is: 42,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,713.80 : 74,116.80 = 31,048.38 : x
  2. Step 2: Convert to fraction form
    53,713.80/74,116.80 = 31,048.38/x
  3. Step 3: Cross multiply
    53,713.80x = 74,116.80 × 31,048.38
  4. Step 4: Simplify right side
    53,713.80x = 2,301,206,570.78
  5. Step 5: Solve for x
    x = 2,301,206,570.78/53,713.80
  6. Step 6: Final answer
    x = 42,842.00

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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.