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Finding the Fourth Proportional to 76,466.64, 114,570.50 and 46,822.56

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Solution

The fourth proportional to 76,466.64, 114,570.50 and 46,822.56 is: 70,154.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,466.64 : 114,570.50 = 46,822.56 : x
  2. Step 2: Convert to fraction form
    76,466.64/114,570.50 = 46,822.56/x
  3. Step 3: Cross multiply
    76,466.64x = 114,570.50 × 46,822.56
  4. Step 4: Simplify right side
    76,466.64x = 5,364,484,110.48
  5. Step 5: Solve for x
    x = 5,364,484,110.48/76,466.64
  6. Step 6: Final answer
    x = 70,154.57

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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.