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Finding the Fourth Proportional to 70,667.72, 106,001.58 and 31,265

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Solution

The fourth proportional to 70,667.72, 106,001.58 and 31,265 is: 46,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,667.72 : 106,001.58 = 31,265 : x
  2. Step 2: Convert to fraction form
    70,667.72/106,001.58 = 31,265/x
  3. Step 3: Cross multiply
    70,667.72x = 106,001.58 × 31,265
  4. Step 4: Simplify right side
    70,667.72x = 3,314,139,398.70
  5. Step 5: Solve for x
    x = 3,314,139,398.70/70,667.72
  6. Step 6: Final answer
    x = 46,897.50

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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.