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Finding the Fourth Proportional to 76,051.61, 114,068.69 and 19,897.13

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Solution

The fourth proportional to 76,051.61, 114,068.69 and 19,897.13 is: 29,843.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,051.61 : 114,068.69 = 19,897.13 : x
  2. Step 2: Convert to fraction form
    76,051.61/114,068.69 = 19,897.13/x
  3. Step 3: Cross multiply
    76,051.61x = 114,068.69 × 19,897.13
  4. Step 4: Simplify right side
    76,051.61x = 2,269,639,814.16
  5. Step 5: Solve for x
    x = 2,269,639,814.16/76,051.61
  6. Step 6: Final answer
    x = 29,843.42

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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.