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Finding the Fourth Proportional to 58,746.16, 81,067.50 and 31,888.10

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Solution

The fourth proportional to 58,746.16, 81,067.50 and 31,888.10 is: 44,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,746.16 : 81,067.50 = 31,888.10 : x
  2. Step 2: Convert to fraction form
    58,746.16/81,067.50 = 31,888.10/x
  3. Step 3: Cross multiply
    58,746.16x = 81,067.50 × 31,888.10
  4. Step 4: Simplify right side
    58,746.16x = 2,585,088,546.75
  5. Step 5: Solve for x
    x = 2,585,088,546.75/58,746.16
  6. Step 6: Final answer
    x = 44,004.38

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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.