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Finding the Fourth Proportional to 82,916.60, 114,427.80 and 47,105.48

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Solution

The fourth proportional to 82,916.60, 114,427.80 and 47,105.48 is: 65,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,916.60 : 114,427.80 = 47,105.48 : x
  2. Step 2: Convert to fraction form
    82,916.60/114,427.80 = 47,105.48/x
  3. Step 3: Cross multiply
    82,916.60x = 114,427.80 × 47,105.48
  4. Step 4: Simplify right side
    82,916.60x = 5,390,176,444.34
  5. Step 5: Solve for x
    x = 5,390,176,444.34/82,916.60
  6. Step 6: Final answer
    x = 65,007.21

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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.