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Finding the Fourth Proportional to 32,530.40, 48,775.80 and 12,785.30

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Solution

The fourth proportional to 32,530.40, 48,775.80 and 12,785.30 is: 19,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,530.40 : 48,775.80 = 12,785.30 : x
  2. Step 2: Convert to fraction form
    32,530.40/48,775.80 = 12,785.30/x
  3. Step 3: Cross multiply
    32,530.40x = 48,775.80 × 12,785.30
  4. Step 4: Simplify right side
    32,530.40x = 623,613,235.74
  5. Step 5: Solve for x
    x = 623,613,235.74/32,530.40
  6. Step 6: Final answer
    x = 19,170.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.