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Finding the Fourth Proportional to 76,471.49, 114,577.54 and 46,827.32

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Solution

The fourth proportional to 76,471.49, 114,577.54 and 46,827.32 is: 70,161.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,471.49 : 114,577.54 = 46,827.32 : x
  2. Step 2: Convert to fraction form
    76,471.49/114,577.54 = 46,827.32/x
  3. Step 3: Cross multiply
    76,471.49x = 114,577.54 × 46,827.32
  4. Step 4: Simplify right side
    76,471.49x = 5,365,358,440.44
  5. Step 5: Solve for x
    x = 5,365,358,440.44/76,471.49
  6. Step 6: Final answer
    x = 70,161.55

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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.