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Finding the Fourth Proportional to 70,970.31, 106,455.47 and 24,223.59

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Solution

The fourth proportional to 70,970.31, 106,455.47 and 24,223.59 is: 36,335.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,970.31 : 106,455.47 = 24,223.59 : x
  2. Step 2: Convert to fraction form
    70,970.31/106,455.47 = 24,223.59/x
  3. Step 3: Cross multiply
    70,970.31x = 106,455.47 × 24,223.59
  4. Step 4: Simplify right side
    70,970.31x = 2,578,733,537.42
  5. Step 5: Solve for x
    x = 2,578,733,537.42/70,970.31
  6. Step 6: Final answer
    x = 36,335.39

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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.