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Finding the Fourth Proportional to 51,486.40, 71,054 and 31,340.08

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Solution

The fourth proportional to 51,486.40, 71,054 and 31,340.08 is: 43,251.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,486.40 : 71,054 = 31,340.08 : x
  2. Step 2: Convert to fraction form
    51,486.40/71,054 = 31,340.08/x
  3. Step 3: Cross multiply
    51,486.40x = 71,054 × 31,340.08
  4. Step 4: Simplify right side
    51,486.40x = 2,226,838,044.32
  5. Step 5: Solve for x
    x = 2,226,838,044.32/51,486.40
  6. Step 6: Final answer
    x = 43,251.00

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