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Finding the Fourth Proportional to 127,792.76, 191,689.11 and 34,298.51

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Solution

The fourth proportional to 127,792.76, 191,689.11 and 34,298.51 is: 51,447.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,792.76 : 191,689.11 = 34,298.51 : x
  2. Step 2: Convert to fraction form
    127,792.76/191,689.11 = 34,298.51/x
  3. Step 3: Cross multiply
    127,792.76x = 191,689.11 × 34,298.51
  4. Step 4: Simplify right side
    127,792.76x = 6,574,651,464.07
  5. Step 5: Solve for x
    x = 6,574,651,464.07/127,792.76
  6. Step 6: Final answer
    x = 51,447.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.