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Finding the Fourth Proportional to 70,643.50, 97,431.64 and 46,469.28

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Solution

The fourth proportional to 70,643.50, 97,431.64 and 46,469.28 is: 64,090.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,643.50 : 97,431.64 = 46,469.28 : x
  2. Step 2: Convert to fraction form
    70,643.50/97,431.64 = 46,469.28/x
  3. Step 3: Cross multiply
    70,643.50x = 97,431.64 × 46,469.28
  4. Step 4: Simplify right side
    70,643.50x = 4,527,578,160.02
  5. Step 5: Solve for x
    x = 4,527,578,160.02/70,643.50
  6. Step 6: Final answer
    x = 64,090.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.