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Finding the Fourth Proportional to 49,131.60, 73,695.60 and 14,071.20

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Solution

The fourth proportional to 49,131.60, 73,695.60 and 14,071.20 is: 21,106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,131.60 : 73,695.60 = 14,071.20 : x
  2. Step 2: Convert to fraction form
    49,131.60/73,695.60 = 14,071.20/x
  3. Step 3: Cross multiply
    49,131.60x = 73,695.60 × 14,071.20
  4. Step 4: Simplify right side
    49,131.60x = 1,036,985,526.72
  5. Step 5: Solve for x
    x = 1,036,985,526.72/49,131.60
  6. Step 6: Final answer
    x = 21,106.28

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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.