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Finding the Fourth Proportional to 32,580, 48,870.48 and 7,956

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Solution

The fourth proportional to 32,580, 48,870.48 and 7,956 is: 11,934.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,580 : 48,870.48 = 7,956 : x
  2. Step 2: Convert to fraction form
    32,580/48,870.48 = 7,956/x
  3. Step 3: Cross multiply
    32,580x = 48,870.48 × 7,956
  4. Step 4: Simplify right side
    32,580x = 388,813,538.88
  5. Step 5: Solve for x
    x = 388,813,538.88/32,580
  6. Step 6: Final answer
    x = 11,934.12

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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.