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Finding the Fourth Proportional to 109,245.34, 163,984.65 and 46,959.58

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Solution

The fourth proportional to 109,245.34, 163,984.65 and 46,959.58 is: 70,489.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,245.34 : 163,984.65 = 46,959.58 : x
  2. Step 2: Convert to fraction form
    109,245.34/163,984.65 = 46,959.58/x
  3. Step 3: Cross multiply
    109,245.34x = 163,984.65 × 46,959.58
  4. Step 4: Simplify right side
    109,245.34x = 7,700,650,290.45
  5. Step 5: Solve for x
    x = 7,700,650,290.45/109,245.34
  6. Step 6: Final answer
    x = 70,489.51

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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.