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Finding the Fourth Proportional to 45,582.48, 68,368.20 and 12,300

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Solution

The fourth proportional to 45,582.48, 68,368.20 and 12,300 is: 18,448.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,582.48 : 68,368.20 = 12,300 : x
  2. Step 2: Convert to fraction form
    45,582.48/68,368.20 = 12,300/x
  3. Step 3: Cross multiply
    45,582.48x = 68,368.20 × 12,300
  4. Step 4: Simplify right side
    45,582.48x = 840,928,860
  5. Step 5: Solve for x
    x = 840,928,860/45,582.48
  6. Step 6: Final answer
    x = 18,448.51

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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.