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Finding the Fourth Proportional to 76,305.81, 105,303.27 and 42,315.72

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Solution

The fourth proportional to 76,305.81, 105,303.27 and 42,315.72 is: 58,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,305.81 : 105,303.27 = 42,315.72 : x
  2. Step 2: Convert to fraction form
    76,305.81/105,303.27 = 42,315.72/x
  3. Step 3: Cross multiply
    76,305.81x = 105,303.27 × 42,315.72
  4. Step 4: Simplify right side
    76,305.81x = 4,455,983,452.20
  5. Step 5: Solve for x
    x = 4,455,983,452.20/76,305.81
  6. Step 6: Final answer
    x = 58,396.38

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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.