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Finding the Fourth Proportional to 64,486.40, 96,662.40 and 31,156.16

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Solution

The fourth proportional to 64,486.40, 96,662.40 and 31,156.16 is: 46,701.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,486.40 : 96,662.40 = 31,156.16 : x
  2. Step 2: Convert to fraction form
    64,486.40/96,662.40 = 31,156.16/x
  3. Step 3: Cross multiply
    64,486.40x = 96,662.40 × 31,156.16
  4. Step 4: Simplify right side
    64,486.40x = 3,011,629,200.38
  5. Step 5: Solve for x
    x = 3,011,629,200.38/64,486.40
  6. Step 6: Final answer
    x = 46,701.77

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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.