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Finding the Fourth Proportional to 32,113.42, 48,146.02 and 9,913.74

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Solution

The fourth proportional to 32,113.42, 48,146.02 and 9,913.74 is: 14,863.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,113.42 : 48,146.02 = 9,913.74 : x
  2. Step 2: Convert to fraction form
    32,113.42/48,146.02 = 9,913.74/x
  3. Step 3: Cross multiply
    32,113.42x = 48,146.02 × 9,913.74
  4. Step 4: Simplify right side
    32,113.42x = 477,307,124.31
  5. Step 5: Solve for x
    x = 477,307,124.31/32,113.42
  6. Step 6: Final answer
    x = 14,863.17

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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.