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Finding the Fourth Proportional to 76,384, 105,410.64 and 42,850.72

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Solution

The fourth proportional to 76,384, 105,410.64 and 42,850.72 is: 59,134.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,384 : 105,410.64 = 42,850.72 : x
  2. Step 2: Convert to fraction form
    76,384/105,410.64 = 42,850.72/x
  3. Step 3: Cross multiply
    76,384x = 105,410.64 × 42,850.72
  4. Step 4: Simplify right side
    76,384x = 4,516,921,819.66
  5. Step 5: Solve for x
    x = 4,516,921,819.66/76,384
  6. Step 6: Final answer
    x = 59,134.40

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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.