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Finding the Fourth Proportional to 32,117.94, 48,164.40 and 11,053.98

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Solution

The fourth proportional to 32,117.94, 48,164.40 and 11,053.98 is: 16,576.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,117.94 : 48,164.40 = 11,053.98 : x
  2. Step 2: Convert to fraction form
    32,117.94/48,164.40 = 11,053.98/x
  3. Step 3: Cross multiply
    32,117.94x = 48,164.40 × 11,053.98
  4. Step 4: Simplify right side
    32,117.94x = 532,408,314.31
  5. Step 5: Solve for x
    x = 532,408,314.31/32,117.94
  6. Step 6: Final answer
    x = 16,576.66

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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.