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Finding the Fourth Proportional to 84,208.52, 116,207.52 and 46,482.50

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Solution

The fourth proportional to 84,208.52, 116,207.52 and 46,482.50 is: 64,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,208.52 : 116,207.52 = 46,482.50 : x
  2. Step 2: Convert to fraction form
    84,208.52/116,207.52 = 46,482.50/x
  3. Step 3: Cross multiply
    84,208.52x = 116,207.52 × 46,482.50
  4. Step 4: Simplify right side
    84,208.52x = 5,401,616,048.40
  5. Step 5: Solve for x
    x = 5,401,616,048.40/84,208.52
  6. Step 6: Final answer
    x = 64,145.72

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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.