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Finding the Fourth Proportional to 49,814.16, 74,710.80 and 14,754.12

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Solution

The fourth proportional to 49,814.16, 74,710.80 and 14,754.12 is: 22,128.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,814.16 : 74,710.80 = 14,754.12 : x
  2. Step 2: Convert to fraction form
    49,814.16/74,710.80 = 14,754.12/x
  3. Step 3: Cross multiply
    49,814.16x = 74,710.80 × 14,754.12
  4. Step 4: Simplify right side
    49,814.16x = 1,102,292,108.50
  5. Step 5: Solve for x
    x = 1,102,292,108.50/49,814.16
  6. Step 6: Final answer
    x = 22,128.09

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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.