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Finding the Fourth Proportional to 32,002.40, 48,003.60 and 16,410.08

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Solution

The fourth proportional to 32,002.40, 48,003.60 and 16,410.08 is: 24,615.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.40 : 48,003.60 = 16,410.08 : x
  2. Step 2: Convert to fraction form
    32,002.40/48,003.60 = 16,410.08/x
  3. Step 3: Cross multiply
    32,002.40x = 48,003.60 × 16,410.08
  4. Step 4: Simplify right side
    32,002.40x = 787,742,916.29
  5. Step 5: Solve for x
    x = 787,742,916.29/32,002.40
  6. Step 6: Final answer
    x = 24,615.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.