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Finding the Fourth Proportional to 76,907.60, 115,361.40 and 48,064.40

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Solution

The fourth proportional to 76,907.60, 115,361.40 and 48,064.40 is: 72,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,907.60 : 115,361.40 = 48,064.40 : x
  2. Step 2: Convert to fraction form
    76,907.60/115,361.40 = 48,064.40/x
  3. Step 3: Cross multiply
    76,907.60x = 115,361.40 × 48,064.40
  4. Step 4: Simplify right side
    76,907.60x = 5,544,776,474.16
  5. Step 5: Solve for x
    x = 5,544,776,474.16/76,907.60
  6. Step 6: Final answer
    x = 72,096.60

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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.