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Finding the Fourth Proportional to 105,427.80, 145,490.72 and 57,681

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Solution

The fourth proportional to 105,427.80, 145,490.72 and 57,681 is: 79,599.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,427.80 : 145,490.72 = 57,681 : x
  2. Step 2: Convert to fraction form
    105,427.80/145,490.72 = 57,681/x
  3. Step 3: Cross multiply
    105,427.80x = 145,490.72 × 57,681
  4. Step 4: Simplify right side
    105,427.80x = 8,392,049,931.92
  5. Step 5: Solve for x
    x = 8,392,049,931.92/105,427.80
  6. Step 6: Final answer
    x = 79,599.97

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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.