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Finding the Fourth Proportional to 92,097.68, 127,102.10 and 51,809.00

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Solution

The fourth proportional to 92,097.68, 127,102.10 and 51,809.00 is: 71,500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,097.68 : 127,102.10 = 51,809.00 : x
  2. Step 2: Convert to fraction form
    92,097.68/127,102.10 = 51,809.00/x
  3. Step 3: Cross multiply
    92,097.68x = 127,102.10 × 51,809.00
  4. Step 4: Simplify right side
    92,097.68x = 6,585,031,804.34
  5. Step 5: Solve for x
    x = 6,585,031,804.34/92,097.68
  6. Step 6: Final answer
    x = 71,500.52

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Why These Related Problems?

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