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Finding the Fourth Proportional to 81,698.34, 112,741.80 and 45,397.80

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Solution

The fourth proportional to 81,698.34, 112,741.80 and 45,397.80 is: 62,647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,698.34 : 112,741.80 = 45,397.80 : x
  2. Step 2: Convert to fraction form
    81,698.34/112,741.80 = 45,397.80/x
  3. Step 3: Cross multiply
    81,698.34x = 112,741.80 × 45,397.80
  4. Step 4: Simplify right side
    81,698.34x = 5,118,229,688.04
  5. Step 5: Solve for x
    x = 5,118,229,688.04/81,698.34
  6. Step 6: Final answer
    x = 62,647.90

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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.