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Finding the Fourth Proportional to 81,441.76, 112,394.26 and 45,643.32

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Solution

The fourth proportional to 81,441.76, 112,394.26 and 45,643.32 is: 62,990.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,441.76 : 112,394.26 = 45,643.32 : x
  2. Step 2: Convert to fraction form
    81,441.76/112,394.26 = 45,643.32/x
  3. Step 3: Cross multiply
    81,441.76x = 112,394.26 × 45,643.32
  4. Step 4: Simplify right side
    81,441.76x = 5,130,047,175.34
  5. Step 5: Solve for x
    x = 5,130,047,175.34/81,441.76
  6. Step 6: Final answer
    x = 62,990.38

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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.