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Finding the Fourth Proportional to 53,893.87, 74,373.54 and 31,246

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Solution

The fourth proportional to 53,893.87, 74,373.54 and 31,246 is: 43,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,893.87 : 74,373.54 = 31,246 : x
  2. Step 2: Convert to fraction form
    53,893.87/74,373.54 = 31,246/x
  3. Step 3: Cross multiply
    53,893.87x = 74,373.54 × 31,246
  4. Step 4: Simplify right side
    53,893.87x = 2,323,875,630.84
  5. Step 5: Solve for x
    x = 2,323,875,630.84/53,893.87
  6. Step 6: Final answer
    x = 43,119.48

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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.