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Finding the Fourth Proportional to 32,561.46, 48,804.93 and 13,814.01

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Solution

The fourth proportional to 32,561.46, 48,804.93 and 13,814.01 is: 20,705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,561.46 : 48,804.93 = 13,814.01 : x
  2. Step 2: Convert to fraction form
    32,561.46/48,804.93 = 13,814.01/x
  3. Step 3: Cross multiply
    32,561.46x = 48,804.93 × 13,814.01
  4. Step 4: Simplify right side
    32,561.46x = 674,191,791.07
  5. Step 5: Solve for x
    x = 674,191,791.07/32,561.46
  6. Step 6: Final answer
    x = 20,705.21

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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.