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Finding the Fourth Proportional to 32,530.14, 48,777.93 and 14,985

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Solution

The fourth proportional to 32,530.14, 48,777.93 and 14,985 is: 22,469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,530.14 : 48,777.93 = 14,985 : x
  2. Step 2: Convert to fraction form
    32,530.14/48,777.93 = 14,985/x
  3. Step 3: Cross multiply
    32,530.14x = 48,777.93 × 14,985
  4. Step 4: Simplify right side
    32,530.14x = 730,937,281.05
  5. Step 5: Solve for x
    x = 730,937,281.05/32,530.14
  6. Step 6: Final answer
    x = 22,469.54

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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.