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Finding the Fourth Proportional to 32,208.32, 48,386.24 and 19,069.76

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Solution

The fourth proportional to 32,208.32, 48,386.24 and 19,069.76 is: 28,648.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,208.32 : 48,386.24 = 19,069.76 : x
  2. Step 2: Convert to fraction form
    32,208.32/48,386.24 = 19,069.76/x
  3. Step 3: Cross multiply
    32,208.32x = 48,386.24 × 19,069.76
  4. Step 4: Simplify right side
    32,208.32x = 922,713,984.10
  5. Step 5: Solve for x
    x = 922,713,984.10/32,208.32
  6. Step 6: Final answer
    x = 28,648.31

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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.