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Finding the Fourth Proportional to 70,567.76, 97,366.92 and 40,754

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Solution

The fourth proportional to 70,567.76, 97,366.92 and 40,754 is: 56,230.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,567.76 : 97,366.92 = 40,754 : x
  2. Step 2: Convert to fraction form
    70,567.76/97,366.92 = 40,754/x
  3. Step 3: Cross multiply
    70,567.76x = 97,366.92 × 40,754
  4. Step 4: Simplify right side
    70,567.76x = 3,968,091,457.68
  5. Step 5: Solve for x
    x = 3,968,091,457.68/70,567.76
  6. Step 6: Final answer
    x = 56,230.94

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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.