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Finding the Fourth Proportional to 39,780.98, 59,667 and 10,199.51

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Solution

The fourth proportional to 39,780.98, 59,667 and 10,199.51 is: 15,298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,780.98 : 59,667 = 10,199.51 : x
  2. Step 2: Convert to fraction form
    39,780.98/59,667 = 10,199.51/x
  3. Step 3: Cross multiply
    39,780.98x = 59,667 × 10,199.51
  4. Step 4: Simplify right side
    39,780.98x = 608,573,864.84
  5. Step 5: Solve for x
    x = 608,573,864.84/39,780.98
  6. Step 6: Final answer
    x = 15,298.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.