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Finding the Fourth Proportional to 32,984.86, 49,360.50 and 20,510.76

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Solution

The fourth proportional to 32,984.86, 49,360.50 and 20,510.76 is: 30,693.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,984.86 : 49,360.50 = 20,510.76 : x
  2. Step 2: Convert to fraction form
    32,984.86/49,360.50 = 20,510.76/x
  3. Step 3: Cross multiply
    32,984.86x = 49,360.50 × 20,510.76
  4. Step 4: Simplify right side
    32,984.86x = 1,012,421,368.98
  5. Step 5: Solve for x
    x = 1,012,421,368.98/32,984.86
  6. Step 6: Final answer
    x = 30,693.51

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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.