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Finding the Fourth Proportional to 34,062.32, 51,095.64 and 10,689.68

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Solution

The fourth proportional to 34,062.32, 51,095.64 and 10,689.68 is: 16,035.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,062.32 : 51,095.64 = 10,689.68 : x
  2. Step 2: Convert to fraction form
    34,062.32/51,095.64 = 10,689.68/x
  3. Step 3: Cross multiply
    34,062.32x = 51,095.64 × 10,689.68
  4. Step 4: Simplify right side
    34,062.32x = 546,196,041.00
  5. Step 5: Solve for x
    x = 546,196,041.00/34,062.32
  6. Step 6: Final answer
    x = 16,035.20

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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.