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Finding the Fourth Proportional to 32,145.83, 48,225.63 and 16,353.06

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Solution

The fourth proportional to 32,145.83, 48,225.63 and 16,353.06 is: 24,533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,145.83 : 48,225.63 = 16,353.06 : x
  2. Step 2: Convert to fraction form
    32,145.83/48,225.63 = 16,353.06/x
  3. Step 3: Cross multiply
    32,145.83x = 48,225.63 × 16,353.06
  4. Step 4: Simplify right side
    32,145.83x = 788,636,620.93
  5. Step 5: Solve for x
    x = 788,636,620.93/32,145.83
  6. Step 6: Final answer
    x = 24,533.10

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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.