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Finding the Fourth Proportional to 59,465.96, 89,104.08 and 31,384.88

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Solution

The fourth proportional to 59,465.96, 89,104.08 and 31,384.88 is: 47,027.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,465.96 : 89,104.08 = 31,384.88 : x
  2. Step 2: Convert to fraction form
    59,465.96/89,104.08 = 31,384.88/x
  3. Step 3: Cross multiply
    59,465.96x = 89,104.08 × 31,384.88
  4. Step 4: Simplify right side
    59,465.96x = 2,796,520,858.31
  5. Step 5: Solve for x
    x = 2,796,520,858.31/59,465.96
  6. Step 6: Final answer
    x = 47,027.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.