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Finding the Fourth Proportional to 84,732, 116,930.16 and 47,006.52

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Solution

The fourth proportional to 84,732, 116,930.16 and 47,006.52 is: 64,869.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,732 : 116,930.16 = 47,006.52 : x
  2. Step 2: Convert to fraction form
    84,732/116,930.16 = 47,006.52/x
  3. Step 3: Cross multiply
    84,732x = 116,930.16 × 47,006.52
  4. Step 4: Simplify right side
    84,732x = 5,496,479,904.64
  5. Step 5: Solve for x
    x = 5,496,479,904.64/84,732
  6. Step 6: Final answer
    x = 64,869.00

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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.