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Finding the Fourth Proportional to 32,069.46, 48,114.65 and 15,430.84

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Solution

The fourth proportional to 32,069.46, 48,114.65 and 15,430.84 is: 23,151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,069.46 : 48,114.65 = 15,430.84 : x
  2. Step 2: Convert to fraction form
    32,069.46/48,114.65 = 15,430.84/x
  3. Step 3: Cross multiply
    32,069.46x = 48,114.65 × 15,430.84
  4. Step 4: Simplify right side
    32,069.46x = 742,449,465.81
  5. Step 5: Solve for x
    x = 742,449,465.81/32,069.46
  6. Step 6: Final answer
    x = 23,151.29

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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.