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Finding the Fourth Proportional to 32,675.40, 49,014.96 and 9,300

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Solution

The fourth proportional to 32,675.40, 49,014.96 and 9,300 is: 13,950.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,675.40 : 49,014.96 = 9,300 : x
  2. Step 2: Convert to fraction form
    32,675.40/49,014.96 = 9,300/x
  3. Step 3: Cross multiply
    32,675.40x = 49,014.96 × 9,300
  4. Step 4: Simplify right side
    32,675.40x = 455,839,128
  5. Step 5: Solve for x
    x = 455,839,128/32,675.40
  6. Step 6: Final answer
    x = 13,950.53

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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.