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Finding the Fourth Proportional to 70,776.16, 97,673.75 and 40,567.30

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Solution

The fourth proportional to 70,776.16, 97,673.75 and 40,567.30 is: 55,984.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,776.16 : 97,673.75 = 40,567.30 : x
  2. Step 2: Convert to fraction form
    70,776.16/97,673.75 = 40,567.30/x
  3. Step 3: Cross multiply
    70,776.16x = 97,673.75 × 40,567.30
  4. Step 4: Simplify right side
    70,776.16x = 3,962,360,318.38
  5. Step 5: Solve for x
    x = 3,962,360,318.38/70,776.16
  6. Step 6: Final answer
    x = 55,984.39

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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.