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Finding the Fourth Proportional to 31,095.57, 42,913.04 and 17,669.10

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Solution

The fourth proportional to 31,095.57, 42,913.04 and 17,669.10 is: 24,384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,095.57 : 42,913.04 = 17,669.10 : x
  2. Step 2: Convert to fraction form
    31,095.57/42,913.04 = 17,669.10/x
  3. Step 3: Cross multiply
    31,095.57x = 42,913.04 × 17,669.10
  4. Step 4: Simplify right side
    31,095.57x = 758,234,492.15
  5. Step 5: Solve for x
    x = 758,234,492.15/31,095.57
  6. Step 6: Final answer
    x = 24,384.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.