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Finding the Fourth Proportional to 123,384.33, 185,047.74 and 34,646.40

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Solution

The fourth proportional to 123,384.33, 185,047.74 and 34,646.40 is: 51,961.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,384.33 : 185,047.74 = 34,646.40 : x
  2. Step 2: Convert to fraction form
    123,384.33/185,047.74 = 34,646.40/x
  3. Step 3: Cross multiply
    123,384.33x = 185,047.74 × 34,646.40
  4. Step 4: Simplify right side
    123,384.33x = 6,411,238,019.14
  5. Step 5: Solve for x
    x = 6,411,238,019.14/123,384.33
  6. Step 6: Final answer
    x = 51,961.53

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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.