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Finding the Fourth Proportional to 70,618.50, 97,462.17 and 40,810.50

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Solution

The fourth proportional to 70,618.50, 97,462.17 and 40,810.50 is: 56,323.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,618.50 : 97,462.17 = 40,810.50 : x
  2. Step 2: Convert to fraction form
    70,618.50/97,462.17 = 40,810.50/x
  3. Step 3: Cross multiply
    70,618.50x = 97,462.17 × 40,810.50
  4. Step 4: Simplify right side
    70,618.50x = 3,977,479,888.79
  5. Step 5: Solve for x
    x = 3,977,479,888.79/70,618.50
  6. Step 6: Final answer
    x = 56,323.48

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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.