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Finding the Fourth Proportional to 42,697, 64,044.10 and 19,323.42

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Solution

The fourth proportional to 42,697, 64,044.10 and 19,323.42 is: 28,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,697 : 64,044.10 = 19,323.42 : x
  2. Step 2: Convert to fraction form
    42,697/64,044.10 = 19,323.42/x
  3. Step 3: Cross multiply
    42,697x = 64,044.10 × 19,323.42
  4. Step 4: Simplify right side
    42,697x = 1,237,551,042.82
  5. Step 5: Solve for x
    x = 1,237,551,042.82/42,697
  6. Step 6: Final answer
    x = 28,984.50

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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.