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Finding the Fourth Proportional to 70,774.29, 97,708.82 and 46,933.16

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Solution

The fourth proportional to 70,774.29, 97,708.82 and 46,933.16 is: 64,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,774.29 : 97,708.82 = 46,933.16 : x
  2. Step 2: Convert to fraction form
    70,774.29/97,708.82 = 46,933.16/x
  3. Step 3: Cross multiply
    70,774.29x = 97,708.82 × 46,933.16
  4. Step 4: Simplify right side
    70,774.29x = 4,585,782,959.26
  5. Step 5: Solve for x
    x = 4,585,782,959.26/70,774.29
  6. Step 6: Final answer
    x = 64,794.47

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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.