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Finding the Fourth Proportional to 83,228.84, 114,865.88 and 46,937.20

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Solution

The fourth proportional to 83,228.84, 114,865.88 and 46,937.20 is: 64,779.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,228.84 : 114,865.88 = 46,937.20 : x
  2. Step 2: Convert to fraction form
    83,228.84/114,865.88 = 46,937.20/x
  3. Step 3: Cross multiply
    83,228.84x = 114,865.88 × 46,937.20
  4. Step 4: Simplify right side
    83,228.84x = 5,391,482,782.74
  5. Step 5: Solve for x
    x = 5,391,482,782.74/83,228.84
  6. Step 6: Final answer
    x = 64,779.02

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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.