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Finding the Fourth Proportional to 84,643.73, 116,807.48 and 46,405.38

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Solution

The fourth proportional to 84,643.73, 116,807.48 and 46,405.38 is: 64,038.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,643.73 : 116,807.48 = 46,405.38 : x
  2. Step 2: Convert to fraction form
    84,643.73/116,807.48 = 46,405.38/x
  3. Step 3: Cross multiply
    84,643.73x = 116,807.48 × 46,405.38
  4. Step 4: Simplify right side
    84,643.73x = 5,420,495,496.24
  5. Step 5: Solve for x
    x = 5,420,495,496.24/84,643.73
  6. Step 6: Final answer
    x = 64,038.95

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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.