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Finding the Fourth Proportional to 97,963.58, 146,941.05 and 31,407.05

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Solution

The fourth proportional to 97,963.58, 146,941.05 and 31,407.05 is: 47,109.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,963.58 : 146,941.05 = 31,407.05 : x
  2. Step 2: Convert to fraction form
    97,963.58/146,941.05 = 31,407.05/x
  3. Step 3: Cross multiply
    97,963.58x = 146,941.05 × 31,407.05
  4. Step 4: Simplify right side
    97,963.58x = 4,614,984,904.40
  5. Step 5: Solve for x
    x = 4,614,984,904.40/97,963.58
  6. Step 6: Final answer
    x = 47,109.19

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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.