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Finding the Fourth Proportional to 127,775.82, 191,541.70 and 47,792.10

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Solution

The fourth proportional to 127,775.82, 191,541.70 and 47,792.10 is: 71,642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,775.82 : 191,541.70 = 47,792.10 : x
  2. Step 2: Convert to fraction form
    127,775.82/191,541.70 = 47,792.10/x
  3. Step 3: Cross multiply
    127,775.82x = 191,541.70 × 47,792.10
  4. Step 4: Simplify right side
    127,775.82x = 9,154,180,080.57
  5. Step 5: Solve for x
    x = 9,154,180,080.57/127,775.82
  6. Step 6: Final answer
    x = 71,642.51

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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.