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Finding the Fourth Proportional to 32,477.76, 48,713.46 and 22,015

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Solution

The fourth proportional to 32,477.76, 48,713.46 and 22,015 is: 33,020.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,477.76 : 48,713.46 = 22,015 : x
  2. Step 2: Convert to fraction form
    32,477.76/48,713.46 = 22,015/x
  3. Step 3: Cross multiply
    32,477.76x = 48,713.46 × 22,015
  4. Step 4: Simplify right side
    32,477.76x = 1,072,426,821.90
  5. Step 5: Solve for x
    x = 1,072,426,821.90/32,477.76
  6. Step 6: Final answer
    x = 33,020.34

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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.