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Finding the Fourth Proportional to 123,384.83, 185,048.49 and 34,646.90

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Solution

The fourth proportional to 123,384.83, 185,048.49 and 34,646.90 is: 51,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,384.83 : 185,048.49 = 34,646.90 : x
  2. Step 2: Convert to fraction form
    123,384.83/185,048.49 = 34,646.90/x
  3. Step 3: Cross multiply
    123,384.83x = 185,048.49 × 34,646.90
  4. Step 4: Simplify right side
    123,384.83x = 6,411,356,528.18
  5. Step 5: Solve for x
    x = 6,411,356,528.18/123,384.83
  6. Step 6: Final answer
    x = 51,962.28

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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.