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Finding the Fourth Proportional to 97,959.80, 146,953.53 and 31,384.35

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Solution

The fourth proportional to 97,959.80, 146,953.53 and 31,384.35 is: 47,080.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,959.80 : 146,953.53 = 31,384.35 : x
  2. Step 2: Convert to fraction form
    97,959.80/146,953.53 = 31,384.35/x
  3. Step 3: Cross multiply
    97,959.80x = 146,953.53 × 31,384.35
  4. Step 4: Simplify right side
    97,959.80x = 4,612,041,019.26
  5. Step 5: Solve for x
    x = 4,612,041,019.26/97,959.80
  6. Step 6: Final answer
    x = 47,080.96

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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.