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Finding the Fourth Proportional to 106,667.55, 160,044.30 and 47,462.58

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Solution

The fourth proportional to 106,667.55, 160,044.30 and 47,462.58 is: 71,212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,667.55 : 160,044.30 = 47,462.58 : x
  2. Step 2: Convert to fraction form
    106,667.55/160,044.30 = 47,462.58/x
  3. Step 3: Cross multiply
    106,667.55x = 160,044.30 × 47,462.58
  4. Step 4: Simplify right side
    106,667.55x = 7,596,115,392.29
  5. Step 5: Solve for x
    x = 7,596,115,392.29/106,667.55
  6. Step 6: Final answer
    x = 71,212.99

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1.5x scale

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.