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Finding the Fourth Proportional to 32,837.70, 49,276.80 and 13,114.20

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Solution

The fourth proportional to 32,837.70, 49,276.80 and 13,114.20 is: 19,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,837.70 : 49,276.80 = 13,114.20 : x
  2. Step 2: Convert to fraction form
    32,837.70/49,276.80 = 13,114.20/x
  3. Step 3: Cross multiply
    32,837.70x = 49,276.80 × 13,114.20
  4. Step 4: Simplify right side
    32,837.70x = 646,225,810.56
  5. Step 5: Solve for x
    x = 646,225,810.56/32,837.70
  6. Step 6: Final answer
    x = 19,679.39

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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.