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Finding the Fourth Proportional to 92,803.14, 128,071.96 and 51,411.20

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Solution

The fourth proportional to 92,803.14, 128,071.96 and 51,411.20 is: 70,949.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,803.14 : 128,071.96 = 51,411.20 : x
  2. Step 2: Convert to fraction form
    92,803.14/128,071.96 = 51,411.20/x
  3. Step 3: Cross multiply
    92,803.14x = 128,071.96 × 51,411.20
  4. Step 4: Simplify right side
    92,803.14x = 6,584,333,149.95
  5. Step 5: Solve for x
    x = 6,584,333,149.95/92,803.14
  6. Step 6: Final answer
    x = 70,949.47

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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.