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Finding the Fourth Proportional to 32,002.90, 48,004.35 and 16,410.58

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Solution

The fourth proportional to 32,002.90, 48,004.35 and 16,410.58 is: 24,615.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.90 : 48,004.35 = 16,410.58 : x
  2. Step 2: Convert to fraction form
    32,002.90/48,004.35 = 16,410.58/x
  3. Step 3: Cross multiply
    32,002.90x = 48,004.35 × 16,410.58
  4. Step 4: Simplify right side
    32,002.90x = 787,779,226.02
  5. Step 5: Solve for x
    x = 787,779,226.02/32,002.90
  6. Step 6: Final answer
    x = 24,615.87

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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.