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Finding the Fourth Proportional to 32,189.25, 48,293.95 and 14,434.80

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Solution

The fourth proportional to 32,189.25, 48,293.95 and 14,434.80 is: 21,656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,189.25 : 48,293.95 = 14,434.80 : x
  2. Step 2: Convert to fraction form
    32,189.25/48,293.95 = 14,434.80/x
  3. Step 3: Cross multiply
    32,189.25x = 48,293.95 × 14,434.80
  4. Step 4: Simplify right side
    32,189.25x = 697,113,509.46
  5. Step 5: Solve for x
    x = 697,113,509.46/32,189.25
  6. Step 6: Final answer
    x = 21,656.72

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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.