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Finding the Fourth Proportional to 70,734.74, 97,596.09 and 42,052.77

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Solution

The fourth proportional to 70,734.74, 97,596.09 and 42,052.77 is: 58,022.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,734.74 : 97,596.09 = 42,052.77 : x
  2. Step 2: Convert to fraction form
    70,734.74/97,596.09 = 42,052.77/x
  3. Step 3: Cross multiply
    70,734.74x = 97,596.09 × 42,052.77
  4. Step 4: Simplify right side
    70,734.74x = 4,104,185,925.67
  5. Step 5: Solve for x
    x = 4,104,185,925.67/70,734.74
  6. Step 6: Final answer
    x = 58,022.21

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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.