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Finding the Fourth Proportional to 32,504.64, 48,747.30 and 13,784.40

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Solution

The fourth proportional to 32,504.64, 48,747.30 and 13,784.40 is: 20,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,504.64 : 48,747.30 = 13,784.40 : x
  2. Step 2: Convert to fraction form
    32,504.64/48,747.30 = 13,784.40/x
  3. Step 3: Cross multiply
    32,504.64x = 48,747.30 × 13,784.40
  4. Step 4: Simplify right side
    32,504.64x = 671,952,282.12
  5. Step 5: Solve for x
    x = 671,952,282.12/32,504.64
  6. Step 6: Final answer
    x = 20,672.50

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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.