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Finding the Fourth Proportional to 84,388.41, 116,457.71 and 46,150.38

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Solution

The fourth proportional to 84,388.41, 116,457.71 and 46,150.38 is: 63,688.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,388.41 : 116,457.71 = 46,150.38 : x
  2. Step 2: Convert to fraction form
    84,388.41/116,457.71 = 46,150.38/x
  3. Step 3: Cross multiply
    84,388.41x = 116,457.71 × 46,150.38
  4. Step 4: Simplify right side
    84,388.41x = 5,374,567,339.68
  5. Step 5: Solve for x
    x = 5,374,567,339.68/84,388.41
  6. Step 6: Final answer
    x = 63,688.45

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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.