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Finding the Fourth Proportional to 105,806.64, 158,712.36 and 42,633.12

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Solution

The fourth proportional to 105,806.64, 158,712.36 and 42,633.12 is: 63,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,806.64 : 158,712.36 = 42,633.12 : x
  2. Step 2: Convert to fraction form
    105,806.64/158,712.36 = 42,633.12/x
  3. Step 3: Cross multiply
    105,806.64x = 158,712.36 × 42,633.12
  4. Step 4: Simplify right side
    105,806.64x = 6,766,403,089.36
  5. Step 5: Solve for x
    x = 6,766,403,089.36/105,806.64
  6. Step 6: Final answer
    x = 63,950.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.