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Finding the Fourth Proportional to 84,071.64, 116,024.22 and 46,349.40

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Solution

The fourth proportional to 84,071.64, 116,024.22 and 46,349.40 is: 63,965.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,071.64 : 116,024.22 = 46,349.40 : x
  2. Step 2: Convert to fraction form
    84,071.64/116,024.22 = 46,349.40/x
  3. Step 3: Cross multiply
    84,071.64x = 116,024.22 × 46,349.40
  4. Step 4: Simplify right side
    84,071.64x = 5,377,652,982.47
  5. Step 5: Solve for x
    x = 5,377,652,982.47/84,071.64
  6. Step 6: Final answer
    x = 63,965.13

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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.