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Finding the Fourth Proportional to 76,730.30, 105,893.13 and 46,516.90

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Solution

The fourth proportional to 76,730.30, 105,893.13 and 46,516.90 is: 64,196.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,730.30 : 105,893.13 = 46,516.90 : x
  2. Step 2: Convert to fraction form
    76,730.30/105,893.13 = 46,516.90/x
  3. Step 3: Cross multiply
    76,730.30x = 105,893.13 × 46,516.90
  4. Step 4: Simplify right side
    76,730.30x = 4,925,819,376.85
  5. Step 5: Solve for x
    x = 4,925,819,376.85/76,730.30
  6. Step 6: Final answer
    x = 64,196.53

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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.