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Finding the Fourth Proportional to 32,146.51, 48,206.23 and 12,152.62

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Solution

The fourth proportional to 32,146.51, 48,206.23 and 12,152.62 is: 18,223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,146.51 : 48,206.23 = 12,152.62 : x
  2. Step 2: Convert to fraction form
    32,146.51/48,206.23 = 12,152.62/x
  3. Step 3: Cross multiply
    32,146.51x = 48,206.23 × 12,152.62
  4. Step 4: Simplify right side
    32,146.51x = 585,831,994.82
  5. Step 5: Solve for x
    x = 585,831,994.82/32,146.51
  6. Step 6: Final answer
    x = 18,223.81

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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.