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Finding the Fourth Proportional to 64,973.86, 97,382.30 and 31,643.98

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Solution

The fourth proportional to 64,973.86, 97,382.30 and 31,643.98 is: 47,427.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,973.86 : 97,382.30 = 31,643.98 : x
  2. Step 2: Convert to fraction form
    64,973.86/97,382.30 = 31,643.98/x
  3. Step 3: Cross multiply
    64,973.86x = 97,382.30 × 31,643.98
  4. Step 4: Simplify right side
    64,973.86x = 3,081,563,553.55
  5. Step 5: Solve for x
    x = 3,081,563,553.55/64,973.86
  6. Step 6: Final answer
    x = 47,427.74

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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.