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Finding the Fourth Proportional to 69,806.53, 96,334.86 and 37,977.40

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Solution

The fourth proportional to 69,806.53, 96,334.86 and 37,977.40 is: 52,409.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,806.53 : 96,334.86 = 37,977.40 : x
  2. Step 2: Convert to fraction form
    69,806.53/96,334.86 = 37,977.40/x
  3. Step 3: Cross multiply
    69,806.53x = 96,334.86 × 37,977.40
  4. Step 4: Simplify right side
    69,806.53x = 3,658,547,512.16
  5. Step 5: Solve for x
    x = 3,658,547,512.16/69,806.53
  6. Step 6: Final answer
    x = 52,409.82

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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.