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Finding the Fourth Proportional to 34,064, 47,010.56 and 19,160.96

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Solution

The fourth proportional to 34,064, 47,010.56 and 19,160.96 is: 26,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,064 : 47,010.56 = 19,160.96 : x
  2. Step 2: Convert to fraction form
    34,064/47,010.56 = 19,160.96/x
  3. Step 3: Cross multiply
    34,064x = 47,010.56 × 19,160.96
  4. Step 4: Simplify right side
    34,064x = 900,767,459.74
  5. Step 5: Solve for x
    x = 900,767,459.74/34,064
  6. Step 6: Final answer
    x = 26,443.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.