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Finding the Fourth Proportional to 76,254.66, 114,374.70 and 46,657.26

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Solution

The fourth proportional to 76,254.66, 114,374.70 and 46,657.26 is: 69,981.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,254.66 : 114,374.70 = 46,657.26 : x
  2. Step 2: Convert to fraction form
    76,254.66/114,374.70 = 46,657.26/x
  3. Step 3: Cross multiply
    76,254.66x = 114,374.70 × 46,657.26
  4. Step 4: Simplify right side
    76,254.66x = 5,336,410,115.32
  5. Step 5: Solve for x
    x = 5,336,410,115.32/76,254.66
  6. Step 6: Final answer
    x = 69,981.43

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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.