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Finding the Fourth Proportional to 81,405.54, 112,341.84 and 45,594.77

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Solution

The fourth proportional to 81,405.54, 112,341.84 and 45,594.77 is: 62,922.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,405.54 : 112,341.84 = 45,594.77 : x
  2. Step 2: Convert to fraction form
    81,405.54/112,341.84 = 45,594.77/x
  3. Step 3: Cross multiply
    81,405.54x = 112,341.84 × 45,594.77
  4. Step 4: Simplify right side
    81,405.54x = 5,122,199,623.49
  5. Step 5: Solve for x
    x = 5,122,199,623.49/81,405.54
  6. Step 6: Final answer
    x = 62,922.00

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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.