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Finding the Fourth Proportional to 54,070.34, 81,048.06 and 31,894.16

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Solution

The fourth proportional to 54,070.34, 81,048.06 and 31,894.16 is: 47,807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,070.34 : 81,048.06 = 31,894.16 : x
  2. Step 2: Convert to fraction form
    54,070.34/81,048.06 = 31,894.16/x
  3. Step 3: Cross multiply
    54,070.34x = 81,048.06 × 31,894.16
  4. Step 4: Simplify right side
    54,070.34x = 2,584,959,388.09
  5. Step 5: Solve for x
    x = 2,584,959,388.09/54,070.34
  6. Step 6: Final answer
    x = 47,807.35

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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.