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Finding the Fourth Proportional to 32,780.55, 49,129.65 and 14,038.50

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Solution

The fourth proportional to 32,780.55, 49,129.65 and 14,038.50 is: 21,040.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,780.55 : 49,129.65 = 14,038.50 : x
  2. Step 2: Convert to fraction form
    32,780.55/49,129.65 = 14,038.50/x
  3. Step 3: Cross multiply
    32,780.55x = 49,129.65 × 14,038.50
  4. Step 4: Simplify right side
    32,780.55x = 689,706,591.53
  5. Step 5: Solve for x
    x = 689,706,591.53/32,780.55
  6. Step 6: Final answer
    x = 21,040.12

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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.