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Finding the Fourth Proportional to 83,962.48, 115,869 and 46,237

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Solution

The fourth proportional to 83,962.48, 115,869 and 46,237 is: 63,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,962.48 : 115,869 = 46,237 : x
  2. Step 2: Convert to fraction form
    83,962.48/115,869 = 46,237/x
  3. Step 3: Cross multiply
    83,962.48x = 115,869 × 46,237
  4. Step 4: Simplify right side
    83,962.48x = 5,357,434,953
  5. Step 5: Solve for x
    x = 5,357,434,953/83,962.48
  6. Step 6: Final answer
    x = 63,807.49

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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.