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Finding the Fourth Proportional to 84,333.80, 116,434.32 and 52,549.40

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Solution

The fourth proportional to 84,333.80, 116,434.32 and 52,549.40 is: 72,551.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,333.80 : 116,434.32 = 52,549.40 : x
  2. Step 2: Convert to fraction form
    84,333.80/116,434.32 = 52,549.40/x
  3. Step 3: Cross multiply
    84,333.80x = 116,434.32 × 52,549.40
  4. Step 4: Simplify right side
    84,333.80x = 6,118,553,655.41
  5. Step 5: Solve for x
    x = 6,118,553,655.41/84,333.80
  6. Step 6: Final answer
    x = 72,551.62

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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.