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Finding the Fourth Proportional to 85,407.16, 117,867.34 and 47,681.40

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Solution

The fourth proportional to 85,407.16, 117,867.34 and 47,681.40 is: 65,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,407.16 : 117,867.34 = 47,681.40 : x
  2. Step 2: Convert to fraction form
    85,407.16/117,867.34 = 47,681.40/x
  3. Step 3: Cross multiply
    85,407.16x = 117,867.34 × 47,681.40
  4. Step 4: Simplify right side
    85,407.16x = 5,620,079,785.48
  5. Step 5: Solve for x
    x = 5,620,079,785.48/85,407.16
  6. Step 6: Final answer
    x = 65,803.38

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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.