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Finding the Fourth Proportional to 105,732.99, 145,915.74 and 57,988.08

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Solution

The fourth proportional to 105,732.99, 145,915.74 and 57,988.08 is: 80,025.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,732.99 : 145,915.74 = 57,988.08 : x
  2. Step 2: Convert to fraction form
    105,732.99/145,915.74 = 57,988.08/x
  3. Step 3: Cross multiply
    105,732.99x = 145,915.74 × 57,988.08
  4. Step 4: Simplify right side
    105,732.99x = 8,461,373,604.38
  5. Step 5: Solve for x
    x = 8,461,373,604.38/105,732.99
  6. Step 6: Final answer
    x = 80,025.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.