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Finding the Fourth Proportional to 32,823.40, 49,235.10 and 30,101.80

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Solution

The fourth proportional to 32,823.40, 49,235.10 and 30,101.80 is: 45,152.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,823.40 : 49,235.10 = 30,101.80 : x
  2. Step 2: Convert to fraction form
    32,823.40/49,235.10 = 30,101.80/x
  3. Step 3: Cross multiply
    32,823.40x = 49,235.10 × 30,101.80
  4. Step 4: Simplify right side
    32,823.40x = 1,482,065,133.18
  5. Step 5: Solve for x
    x = 1,482,065,133.18/32,823.40
  6. Step 6: Final answer
    x = 45,152.70

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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.