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Finding the Fourth Proportional to 81,875.86, 112,982.60 and 46,058.96

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Solution

The fourth proportional to 81,875.86, 112,982.60 and 46,058.96 is: 63,557.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,875.86 : 112,982.60 = 46,058.96 : x
  2. Step 2: Convert to fraction form
    81,875.86/112,982.60 = 46,058.96/x
  3. Step 3: Cross multiply
    81,875.86x = 112,982.60 × 46,058.96
  4. Step 4: Simplify right side
    81,875.86x = 5,203,861,054.10
  5. Step 5: Solve for x
    x = 5,203,861,054.10/81,875.86
  6. Step 6: Final answer
    x = 63,557.94

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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.