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Finding the Fourth Proportional to 71,054.32, 106,558.41 and 23,656.69

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Solution

The fourth proportional to 71,054.32, 106,558.41 and 23,656.69 is: 35,477.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,054.32 : 106,558.41 = 23,656.69 : x
  2. Step 2: Convert to fraction form
    71,054.32/106,558.41 = 23,656.69/x
  3. Step 3: Cross multiply
    71,054.32x = 106,558.41 × 23,656.69
  4. Step 4: Simplify right side
    71,054.32x = 2,520,819,272.26
  5. Step 5: Solve for x
    x = 2,520,819,272.26/71,054.32
  6. Step 6: Final answer
    x = 35,477.35

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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.