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Finding the Fourth Proportional to 76,458.58, 114,725.46 and 34,368.40

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Solution

The fourth proportional to 76,458.58, 114,725.46 and 34,368.40 is: 51,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,458.58 : 114,725.46 = 34,368.40 : x
  2. Step 2: Convert to fraction form
    76,458.58/114,725.46 = 34,368.40/x
  3. Step 3: Cross multiply
    76,458.58x = 114,725.46 × 34,368.40
  4. Step 4: Simplify right side
    76,458.58x = 3,942,930,771.75
  5. Step 5: Solve for x
    x = 3,942,930,771.75/76,458.58
  6. Step 6: Final answer
    x = 51,569.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.