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Finding the Fourth Proportional to 32,165.64, 48,258.48 and 15,522.77

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Solution

The fourth proportional to 32,165.64, 48,258.48 and 15,522.77 is: 23,289.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,165.64 : 48,258.48 = 15,522.77 : x
  2. Step 2: Convert to fraction form
    32,165.64/48,258.48 = 15,522.77/x
  3. Step 3: Cross multiply
    32,165.64x = 48,258.48 × 15,522.77
  4. Step 4: Simplify right side
    32,165.64x = 749,105,464.45
  5. Step 5: Solve for x
    x = 749,105,464.45/32,165.64
  6. Step 6: Final answer
    x = 23,289.00

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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.