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Finding the Fourth Proportional to 32,641.42, 48,986.16 and 14,892.16

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Solution

The fourth proportional to 32,641.42, 48,986.16 and 14,892.16 is: 22,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,641.42 : 48,986.16 = 14,892.16 : x
  2. Step 2: Convert to fraction form
    32,641.42/48,986.16 = 14,892.16/x
  3. Step 3: Cross multiply
    32,641.42x = 48,986.16 × 14,892.16
  4. Step 4: Simplify right side
    32,641.42x = 729,509,732.51
  5. Step 5: Solve for x
    x = 729,509,732.51/32,641.42
  6. Step 6: Final answer
    x = 22,349.20

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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.