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Finding the Fourth Proportional to 105,803.88, 158,747.10 and 46,597.92

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Solution

The fourth proportional to 105,803.88, 158,747.10 and 46,597.92 is: 69,915.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,803.88 : 158,747.10 = 46,597.92 : x
  2. Step 2: Convert to fraction form
    105,803.88/158,747.10 = 46,597.92/x
  3. Step 3: Cross multiply
    105,803.88x = 158,747.10 × 46,597.92
  4. Step 4: Simplify right side
    105,803.88x = 7,397,284,666.03
  5. Step 5: Solve for x
    x = 7,397,284,666.03/105,803.88
  6. Step 6: Final answer
    x = 69,915.06

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Why These Related Problems?

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