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Finding the Fourth Proportional to 32,098.53, 44,298.11 and 17,950.53

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Solution

The fourth proportional to 32,098.53, 44,298.11 and 17,950.53 is: 24,772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098.53 : 44,298.11 = 17,950.53 : x
  2. Step 2: Convert to fraction form
    32,098.53/44,298.11 = 17,950.53/x
  3. Step 3: Cross multiply
    32,098.53x = 44,298.11 × 17,950.53
  4. Step 4: Simplify right side
    32,098.53x = 795,174,462.75
  5. Step 5: Solve for x
    x = 795,174,462.75/32,098.53
  6. Step 6: Final answer
    x = 24,772.92

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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.