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Finding the Fourth Proportional to 116,751.34, 175,197.84 and 46,624.78

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Solution

The fourth proportional to 116,751.34, 175,197.84 and 46,624.78 is: 69,965.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,751.34 : 175,197.84 = 46,624.78 : x
  2. Step 2: Convert to fraction form
    116,751.34/175,197.84 = 46,624.78/x
  3. Step 3: Cross multiply
    116,751.34x = 175,197.84 × 46,624.78
  4. Step 4: Simplify right side
    116,751.34x = 8,168,560,746.48
  5. Step 5: Solve for x
    x = 8,168,560,746.48/116,751.34
  6. Step 6: Final answer
    x = 69,965.46

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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.