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Finding the Fourth Proportional to 76,301.99, 105,297.98 and 42,311.91

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Solution

The fourth proportional to 76,301.99, 105,297.98 and 42,311.91 is: 58,391.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,301.99 : 105,297.98 = 42,311.91 : x
  2. Step 2: Convert to fraction form
    76,301.99/105,297.98 = 42,311.91/x
  3. Step 3: Cross multiply
    76,301.99x = 105,297.98 × 42,311.91
  4. Step 4: Simplify right side
    76,301.99x = 4,455,358,441.38
  5. Step 5: Solve for x
    x = 4,455,358,441.38/76,301.99
  6. Step 6: Final answer
    x = 58,391.12

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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.