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Finding the Fourth Proportional to 64,893.14, 97,342.90 and 31,641.63

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Solution

The fourth proportional to 64,893.14, 97,342.90 and 31,641.63 is: 47,464.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,893.14 : 97,342.90 = 31,641.63 : x
  2. Step 2: Convert to fraction form
    64,893.14/97,342.90 = 31,641.63/x
  3. Step 3: Cross multiply
    64,893.14x = 97,342.90 × 31,641.63
  4. Step 4: Simplify right side
    64,893.14x = 3,080,088,024.93
  5. Step 5: Solve for x
    x = 3,080,088,024.93/64,893.14
  6. Step 6: Final answer
    x = 47,464.00

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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.