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Finding the Fourth Proportional to 45,641.70, 62,973.08 and 31,305.08

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Solution

The fourth proportional to 45,641.70, 62,973.08 and 31,305.08 is: 43,192.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,641.70 : 62,973.08 = 31,305.08 : x
  2. Step 2: Convert to fraction form
    45,641.70/62,973.08 = 31,305.08/x
  3. Step 3: Cross multiply
    45,641.70x = 62,973.08 × 31,305.08
  4. Step 4: Simplify right side
    45,641.70x = 1,971,377,307.25
  5. Step 5: Solve for x
    x = 1,971,377,307.25/45,641.70
  6. Step 6: Final answer
    x = 43,192.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.