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Finding the Fourth Proportional to 46,298.49, 69,434.01 and 19,644.12

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Solution

The fourth proportional to 46,298.49, 69,434.01 and 19,644.12 is: 29,460.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,298.49 : 69,434.01 = 19,644.12 : x
  2. Step 2: Convert to fraction form
    46,298.49/69,434.01 = 19,644.12/x
  3. Step 3: Cross multiply
    46,298.49x = 69,434.01 × 19,644.12
  4. Step 4: Simplify right side
    46,298.49x = 1,363,970,024.52
  5. Step 5: Solve for x
    x = 1,363,970,024.52/46,298.49
  6. Step 6: Final answer
    x = 29,460.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.