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Finding the Fourth Proportional to 32,169.84, 48,237.48 and 14,643.60

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Solution

The fourth proportional to 32,169.84, 48,237.48 and 14,643.60 is: 21,957.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,169.84 : 48,237.48 = 14,643.60 : x
  2. Step 2: Convert to fraction form
    32,169.84/48,237.48 = 14,643.60/x
  3. Step 3: Cross multiply
    32,169.84x = 48,237.48 × 14,643.60
  4. Step 4: Simplify right side
    32,169.84x = 706,370,362.13
  5. Step 5: Solve for x
    x = 706,370,362.13/32,169.84
  6. Step 6: Final answer
    x = 21,957.53

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1.5x scale

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.