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Finding the Fourth Proportional to 76,432.40, 105,376.84 and 55,216.88

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Solution

The fourth proportional to 76,432.40, 105,376.84 and 55,216.88 is: 76,127.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,432.40 : 105,376.84 = 55,216.88 : x
  2. Step 2: Convert to fraction form
    76,432.40/105,376.84 = 55,216.88/x
  3. Step 3: Cross multiply
    76,432.40x = 105,376.84 × 55,216.88
  4. Step 4: Simplify right side
    76,432.40x = 5,818,580,329.06
  5. Step 5: Solve for x
    x = 5,818,580,329.06/76,432.40
  6. Step 6: Final answer
    x = 76,127.14

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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.