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Finding the Fourth Proportional to 32,148, 48,208.48 and 12,154.13

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Solution

The fourth proportional to 32,148, 48,208.48 and 12,154.13 is: 18,226.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,148 : 48,208.48 = 12,154.13 : x
  2. Step 2: Convert to fraction form
    32,148/48,208.48 = 12,154.13/x
  3. Step 3: Cross multiply
    32,148x = 48,208.48 × 12,154.13
  4. Step 4: Simplify right side
    32,148x = 585,932,133.02
  5. Step 5: Solve for x
    x = 585,932,133.02/32,148
  6. Step 6: Final answer
    x = 18,226.08

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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.