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Finding the Fourth Proportional to 70,983.56, 97,867.38 and 46,780.76

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Solution

The fourth proportional to 70,983.56, 97,867.38 and 46,780.76 is: 64,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,983.56 : 97,867.38 = 46,780.76 : x
  2. Step 2: Convert to fraction form
    70,983.56/97,867.38 = 46,780.76/x
  3. Step 3: Cross multiply
    70,983.56x = 97,867.38 × 46,780.76
  4. Step 4: Simplify right side
    70,983.56x = 4,578,310,415.61
  5. Step 5: Solve for x
    x = 4,578,310,415.61/70,983.56
  6. Step 6: Final answer
    x = 64,498.18

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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.