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Finding the Fourth Proportional to 32,117.65, 48,164.50 and 11,051.80

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Solution

The fourth proportional to 32,117.65, 48,164.50 and 11,051.80 is: 16,573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,117.65 : 48,164.50 = 11,051.80 : x
  2. Step 2: Convert to fraction form
    32,117.65/48,164.50 = 11,051.80/x
  3. Step 3: Cross multiply
    32,117.65x = 48,164.50 × 11,051.80
  4. Step 4: Simplify right side
    32,117.65x = 532,304,314.50
  5. Step 5: Solve for x
    x = 532,304,314.50/32,117.65
  6. Step 6: Final answer
    x = 16,573.58

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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.