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Finding the Fourth Proportional to 70,859.76, 97,772.14 and 53,859.48

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Solution

The fourth proportional to 70,859.76, 97,772.14 and 53,859.48 is: 74,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,859.76 : 97,772.14 = 53,859.48 : x
  2. Step 2: Convert to fraction form
    70,859.76/97,772.14 = 53,859.48/x
  3. Step 3: Cross multiply
    70,859.76x = 97,772.14 × 53,859.48
  4. Step 4: Simplify right side
    70,859.76x = 5,265,956,618.89
  5. Step 5: Solve for x
    x = 5,265,956,618.89/70,859.76
  6. Step 6: Final answer
    x = 74,315.19

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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.