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Finding the Fourth Proportional to 92,823.48, 128,096.52 and 50,382

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Solution

The fourth proportional to 92,823.48, 128,096.52 and 50,382 is: 69,527.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,823.48 : 128,096.52 = 50,382 : x
  2. Step 2: Convert to fraction form
    92,823.48/128,096.52 = 50,382/x
  3. Step 3: Cross multiply
    92,823.48x = 128,096.52 × 50,382
  4. Step 4: Simplify right side
    92,823.48x = 6,453,758,870.64
  5. Step 5: Solve for x
    x = 6,453,758,870.64/92,823.48
  6. Step 6: Final answer
    x = 69,527.22

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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.