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Finding the Fourth Proportional to 32,946, 49,468.22 and 32,453.93

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Solution

The fourth proportional to 32,946, 49,468.22 and 32,453.93 is: 48,729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,946 : 49,468.22 = 32,453.93 : x
  2. Step 2: Convert to fraction form
    32,946/49,468.22 = 32,453.93/x
  3. Step 3: Cross multiply
    32,946x = 49,468.22 × 32,453.93
  4. Step 4: Simplify right side
    32,946x = 1,605,437,739.49
  5. Step 5: Solve for x
    x = 1,605,437,739.49/32,946
  6. Step 6: Final answer
    x = 48,729.37

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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.