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Finding the Fourth Proportional to 72,973.20, 109,451.55 and 19,669.14

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Solution

The fourth proportional to 72,973.20, 109,451.55 and 19,669.14 is: 29,501.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,973.20 : 109,451.55 = 19,669.14 : x
  2. Step 2: Convert to fraction form
    72,973.20/109,451.55 = 19,669.14/x
  3. Step 3: Cross multiply
    72,973.20x = 109,451.55 × 19,669.14
  4. Step 4: Simplify right side
    72,973.20x = 2,152,817,860.17
  5. Step 5: Solve for x
    x = 2,152,817,860.17/72,973.20
  6. Step 6: Final answer
    x = 29,501.49

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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.