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Finding the Fourth Proportional to 70,907.73, 97,857.28 and 40,702.83

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Solution

The fourth proportional to 70,907.73, 97,857.28 and 40,702.83 is: 56,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,907.73 : 97,857.28 = 40,702.83 : x
  2. Step 2: Convert to fraction form
    70,907.73/97,857.28 = 40,702.83/x
  3. Step 3: Cross multiply
    70,907.73x = 97,857.28 × 40,702.83
  4. Step 4: Simplify right side
    70,907.73x = 3,983,068,232.10
  5. Step 5: Solve for x
    x = 3,983,068,232.10/70,907.73
  6. Step 6: Final answer
    x = 56,172.55

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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.