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Finding the Fourth Proportional to 32,135.10, 48,205.06 and 9,950.82

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Solution

The fourth proportional to 32,135.10, 48,205.06 and 9,950.82 is: 14,926.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,135.10 : 48,205.06 = 9,950.82 : x
  2. Step 2: Convert to fraction form
    32,135.10/48,205.06 = 9,950.82/x
  3. Step 3: Cross multiply
    32,135.10x = 48,205.06 × 9,950.82
  4. Step 4: Simplify right side
    32,135.10x = 479,679,875.15
  5. Step 5: Solve for x
    x = 479,679,875.15/32,135.10
  6. Step 6: Final answer
    x = 14,926.98

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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.