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Finding the Fourth Proportional to 76,296.32, 105,292.28 and 42,302.64

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Solution

The fourth proportional to 76,296.32, 105,292.28 and 42,302.64 is: 58,379.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,296.32 : 105,292.28 = 42,302.64 : x
  2. Step 2: Convert to fraction form
    76,296.32/105,292.28 = 42,302.64/x
  3. Step 3: Cross multiply
    76,296.32x = 105,292.28 × 42,302.64
  4. Step 4: Simplify right side
    76,296.32x = 4,454,141,415.62
  5. Step 5: Solve for x
    x = 4,454,141,415.62/76,296.32
  6. Step 6: Final answer
    x = 58,379.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.