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Finding the Fourth Proportional to 59,164.83, 81,648 and 32,307.66

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Solution

The fourth proportional to 59,164.83, 81,648 and 32,307.66 is: 44,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,164.83 : 81,648 = 32,307.66 : x
  2. Step 2: Convert to fraction form
    59,164.83/81,648 = 32,307.66/x
  3. Step 3: Cross multiply
    59,164.83x = 81,648 × 32,307.66
  4. Step 4: Simplify right side
    59,164.83x = 2,637,855,823.68
  5. Step 5: Solve for x
    x = 2,637,855,823.68/59,164.83
  6. Step 6: Final answer
    x = 44,584.86

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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.