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Finding the Fourth Proportional to 52,354.98, 78,539.22 and 19,069.92

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Solution

The fourth proportional to 52,354.98, 78,539.22 and 19,069.92 is: 28,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,354.98 : 78,539.22 = 19,069.92 : x
  2. Step 2: Convert to fraction form
    52,354.98/78,539.22 = 19,069.92/x
  3. Step 3: Cross multiply
    52,354.98x = 78,539.22 × 19,069.92
  4. Step 4: Simplify right side
    52,354.98x = 1,497,736,642.26
  5. Step 5: Solve for x
    x = 1,497,736,642.26/52,354.98
  6. Step 6: Final answer
    x = 28,607.34

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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.