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Finding the Fourth Proportional to 116,965.84, 175,422.84 and 46,826.32

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Solution

The fourth proportional to 116,965.84, 175,422.84 and 46,826.32 is: 70,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,965.84 : 175,422.84 = 46,826.32 : x
  2. Step 2: Convert to fraction form
    116,965.84/175,422.84 = 46,826.32/x
  3. Step 3: Cross multiply
    116,965.84x = 175,422.84 × 46,826.32
  4. Step 4: Simplify right side
    116,965.84x = 8,214,406,041.15
  5. Step 5: Solve for x
    x = 8,214,406,041.15/116,965.84
  6. Step 6: Final answer
    x = 70,229.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.