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Finding the Fourth Proportional to 84,351.12, 116,400 and 46,623.12

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Solution

The fourth proportional to 84,351.12, 116,400 and 46,623.12 is: 64,337.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,351.12 : 116,400 = 46,623.12 : x
  2. Step 2: Convert to fraction form
    84,351.12/116,400 = 46,623.12/x
  3. Step 3: Cross multiply
    84,351.12x = 116,400 × 46,623.12
  4. Step 4: Simplify right side
    84,351.12x = 5,426,931,168
  5. Step 5: Solve for x
    x = 5,426,931,168/84,351.12
  6. Step 6: Final answer
    x = 64,337.39

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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.