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Finding the Fourth Proportional to 32,475, 48,571.78 and 19,116.16

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Solution

The fourth proportional to 32,475, 48,571.78 and 19,116.16 is: 28,591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,475 : 48,571.78 = 19,116.16 : x
  2. Step 2: Convert to fraction form
    32,475/48,571.78 = 19,116.16/x
  3. Step 3: Cross multiply
    32,475x = 48,571.78 × 19,116.16
  4. Step 4: Simplify right side
    32,475x = 928,505,748.74
  5. Step 5: Solve for x
    x = 928,505,748.74/32,475
  6. Step 6: Final answer
    x = 28,591.40

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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.