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Finding the Fourth Proportional to 32,309.84, 48,477.11 and 12,602.13

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Solution

The fourth proportional to 32,309.84, 48,477.11 and 12,602.13 is: 18,908.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,309.84 : 48,477.11 = 12,602.13 : x
  2. Step 2: Convert to fraction form
    32,309.84/48,477.11 = 12,602.13/x
  3. Step 3: Cross multiply
    32,309.84x = 48,477.11 × 12,602.13
  4. Step 4: Simplify right side
    32,309.84x = 610,914,779.23
  5. Step 5: Solve for x
    x = 610,914,779.23/32,309.84
  6. Step 6: Final answer
    x = 18,908.01

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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.