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Finding the Fourth Proportional to 64,408.64, 96,672.42 and 46,415.57

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Solution

The fourth proportional to 64,408.64, 96,672.42 and 46,415.57 is: 69,666.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,408.64 : 96,672.42 = 46,415.57 : x
  2. Step 2: Convert to fraction form
    64,408.64/96,672.42 = 46,415.57/x
  3. Step 3: Cross multiply
    64,408.64x = 96,672.42 × 46,415.57
  4. Step 4: Simplify right side
    64,408.64x = 4,487,104,994.22
  5. Step 5: Solve for x
    x = 4,487,104,994.22/64,408.64
  6. Step 6: Final answer
    x = 69,666.20

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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.