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Finding the Fourth Proportional to 32,548.02, 48,784.42 and 14,980.94

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Solution

The fourth proportional to 32,548.02, 48,784.42 and 14,980.94 is: 22,454.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,548.02 : 48,784.42 = 14,980.94 : x
  2. Step 2: Convert to fraction form
    32,548.02/48,784.42 = 14,980.94/x
  3. Step 3: Cross multiply
    32,548.02x = 48,784.42 × 14,980.94
  4. Step 4: Simplify right side
    32,548.02x = 730,836,468.95
  5. Step 5: Solve for x
    x = 730,836,468.95/32,548.02
  6. Step 6: Final answer
    x = 22,454.10

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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.