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Finding the Fourth Proportional to 77,084.59, 106,393.88 and 46,863.50

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Solution

The fourth proportional to 77,084.59, 106,393.88 and 46,863.50 is: 64,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,084.59 : 106,393.88 = 46,863.50 : x
  2. Step 2: Convert to fraction form
    77,084.59/106,393.88 = 46,863.50/x
  3. Step 3: Cross multiply
    77,084.59x = 106,393.88 × 46,863.50
  4. Step 4: Simplify right side
    77,084.59x = 4,985,989,595.38
  5. Step 5: Solve for x
    x = 4,985,989,595.38/77,084.59
  6. Step 6: Final answer
    x = 64,682.05

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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.