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Finding the Fourth Proportional to 70,872.50, 97,803 and 39,041.42

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Solution

The fourth proportional to 70,872.50, 97,803 and 39,041.42 is: 53,876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,872.50 : 97,803 = 39,041.42 : x
  2. Step 2: Convert to fraction form
    70,872.50/97,803 = 39,041.42/x
  3. Step 3: Cross multiply
    70,872.50x = 97,803 × 39,041.42
  4. Step 4: Simplify right side
    70,872.50x = 3,818,368,000.26
  5. Step 5: Solve for x
    x = 3,818,368,000.26/70,872.50
  6. Step 6: Final answer
    x = 53,876.58

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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.