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Finding the Fourth Proportional to 32,502.64, 48,744.30 and 13,782.40

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Solution

The fourth proportional to 32,502.64, 48,744.30 and 13,782.40 is: 20,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,502.64 : 48,744.30 = 13,782.40 : x
  2. Step 2: Convert to fraction form
    32,502.64/48,744.30 = 13,782.40/x
  3. Step 3: Cross multiply
    32,502.64x = 48,744.30 × 13,782.40
  4. Step 4: Simplify right side
    32,502.64x = 671,813,440.32
  5. Step 5: Solve for x
    x = 671,813,440.32/32,502.64
  6. Step 6: Final answer
    x = 20,669.50

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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.