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Finding the Fourth Proportional to 70,762.19, 97,651.25 and 40,141.11

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Solution

The fourth proportional to 70,762.19, 97,651.25 and 40,141.11 is: 55,394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,762.19 : 97,651.25 = 40,141.11 : x
  2. Step 2: Convert to fraction form
    70,762.19/97,651.25 = 40,141.11/x
  3. Step 3: Cross multiply
    70,762.19x = 97,651.25 × 40,141.11
  4. Step 4: Simplify right side
    70,762.19x = 3,919,829,567.89
  5. Step 5: Solve for x
    x = 3,919,829,567.89/70,762.19
  6. Step 6: Final answer
    x = 55,394.41

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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.