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Finding the Fourth Proportional to 64,464.56, 88,959.40 and 35,784.16

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Solution

The fourth proportional to 64,464.56, 88,959.40 and 35,784.16 is: 49,381.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,464.56 : 88,959.40 = 35,784.16 : x
  2. Step 2: Convert to fraction form
    64,464.56/88,959.40 = 35,784.16/x
  3. Step 3: Cross multiply
    64,464.56x = 88,959.40 × 35,784.16
  4. Step 4: Simplify right side
    64,464.56x = 3,183,337,403.10
  5. Step 5: Solve for x
    x = 3,183,337,403.10/64,464.56
  6. Step 6: Final answer
    x = 49,381.20

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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.