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Finding the Fourth Proportional to 76,303.28, 105,296.64 and 42,311.90

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Solution

The fourth proportional to 76,303.28, 105,296.64 and 42,311.90 is: 58,389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,303.28 : 105,296.64 = 42,311.90 : x
  2. Step 2: Convert to fraction form
    76,303.28/105,296.64 = 42,311.90/x
  3. Step 3: Cross multiply
    76,303.28x = 105,296.64 × 42,311.90
  4. Step 4: Simplify right side
    76,303.28x = 4,455,300,902.02
  5. Step 5: Solve for x
    x = 4,455,300,902.02/76,303.28
  6. Step 6: Final answer
    x = 58,389.38

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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.