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Finding the Fourth Proportional to 97,699.52, 146,559.96 and 31,124.00

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Solution

The fourth proportional to 97,699.52, 146,559.96 and 31,124.00 is: 46,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,699.52 : 146,559.96 = 31,124.00 : x
  2. Step 2: Convert to fraction form
    97,699.52/146,559.96 = 31,124.00/x
  3. Step 3: Cross multiply
    97,699.52x = 146,559.96 × 31,124.00
  4. Step 4: Simplify right side
    97,699.52x = 4,561,531,462.24
  5. Step 5: Solve for x
    x = 4,561,531,462.24/97,699.52
  6. Step 6: Final answer
    x = 46,689.40

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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.