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Finding the Fourth Proportional to 32,678.57, 49,019.68 and 9,303.19

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Solution

The fourth proportional to 32,678.57, 49,019.68 and 9,303.19 is: 13,955.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,678.57 : 49,019.68 = 9,303.19 : x
  2. Step 2: Convert to fraction form
    32,678.57/49,019.68 = 9,303.19/x
  3. Step 3: Cross multiply
    32,678.57x = 49,019.68 × 9,303.19
  4. Step 4: Simplify right side
    32,678.57x = 456,039,285.86
  5. Step 5: Solve for x
    x = 456,039,285.86/32,678.57
  6. Step 6: Final answer
    x = 13,955.30

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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.