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Finding the Fourth Proportional to 46,497.52, 69,745.68 and 11,437.48

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Solution

The fourth proportional to 46,497.52, 69,745.68 and 11,437.48 is: 17,156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,497.52 : 69,745.68 = 11,437.48 : x
  2. Step 2: Convert to fraction form
    46,497.52/69,745.68 = 11,437.48/x
  3. Step 3: Cross multiply
    46,497.52x = 69,745.68 × 11,437.48
  4. Step 4: Simplify right side
    46,497.52x = 797,714,820.09
  5. Step 5: Solve for x
    x = 797,714,820.09/46,497.52
  6. Step 6: Final answer
    x = 17,156.07

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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.