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Finding the Fourth Proportional to 84,436, 116,511.60 and 46,705.12

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Solution

The fourth proportional to 84,436, 116,511.60 and 46,705.12 is: 64,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,436 : 116,511.60 = 46,705.12 : x
  2. Step 2: Convert to fraction form
    84,436/116,511.60 = 46,705.12/x
  3. Step 3: Cross multiply
    84,436x = 116,511.60 × 46,705.12
  4. Step 4: Simplify right side
    84,436x = 5,441,688,259.39
  5. Step 5: Solve for x
    x = 5,441,688,259.39/84,436
  6. Step 6: Final answer
    x = 64,447.49

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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.