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Finding the Fourth Proportional to 32,996.90, 49,499.80 and 9,623.14

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Solution

The fourth proportional to 32,996.90, 49,499.80 and 9,623.14 is: 14,436.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,996.90 : 49,499.80 = 9,623.14 : x
  2. Step 2: Convert to fraction form
    32,996.90/49,499.80 = 9,623.14/x
  3. Step 3: Cross multiply
    32,996.90x = 49,499.80 × 9,623.14
  4. Step 4: Simplify right side
    32,996.90x = 476,343,505.37
  5. Step 5: Solve for x
    x = 476,343,505.37/32,996.90
  6. Step 6: Final answer
    x = 14,436.01

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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.