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Finding the Fourth Proportional to 105,675.91, 158,582.57 and 45,762.91

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Solution

The fourth proportional to 105,675.91, 158,582.57 and 45,762.91 is: 68,674.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,675.91 : 158,582.57 = 45,762.91 : x
  2. Step 2: Convert to fraction form
    105,675.91/158,582.57 = 45,762.91/x
  3. Step 3: Cross multiply
    105,675.91x = 158,582.57 × 45,762.91
  4. Step 4: Simplify right side
    105,675.91x = 7,257,199,253.21
  5. Step 5: Solve for x
    x = 7,257,199,253.21/105,675.91
  6. Step 6: Final answer
    x = 68,674.11

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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.