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Finding the Fourth Proportional to 46,442.40, 64,108.84 and 31,344

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Solution

The fourth proportional to 46,442.40, 64,108.84 and 31,344 is: 43,267.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,442.40 : 64,108.84 = 31,344 : x
  2. Step 2: Convert to fraction form
    46,442.40/64,108.84 = 31,344/x
  3. Step 3: Cross multiply
    46,442.40x = 64,108.84 × 31,344
  4. Step 4: Simplify right side
    46,442.40x = 2,009,427,480.96
  5. Step 5: Solve for x
    x = 2,009,427,480.96/46,442.40
  6. Step 6: Final answer
    x = 43,267.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.