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Finding the Fourth Proportional to 84,364.84, 116,424 and 46,124.47

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Solution

The fourth proportional to 84,364.84, 116,424 and 46,124.47 is: 63,652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,364.84 : 116,424 = 46,124.47 : x
  2. Step 2: Convert to fraction form
    84,364.84/116,424 = 46,124.47/x
  3. Step 3: Cross multiply
    84,364.84x = 116,424 × 46,124.47
  4. Step 4: Simplify right side
    84,364.84x = 5,369,995,295.28
  5. Step 5: Solve for x
    x = 5,369,995,295.28/84,364.84
  6. Step 6: Final answer
    x = 63,652.05

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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.