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Finding the Fourth Proportional to 48,918, 67,507.83 and 29,798.58

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Solution

The fourth proportional to 48,918, 67,507.83 and 29,798.58 is: 41,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,918 : 67,507.83 = 29,798.58 : x
  2. Step 2: Convert to fraction form
    48,918/67,507.83 = 29,798.58/x
  3. Step 3: Cross multiply
    48,918x = 67,507.83 × 29,798.58
  4. Step 4: Simplify right side
    48,918x = 2,011,637,472.88
  5. Step 5: Solve for x
    x = 2,011,637,472.88/48,918
  6. Step 6: Final answer
    x = 41,122.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.