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Finding the Fourth Proportional to 97,625.76, 146,271.45 and 53,283.63

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Solution

The fourth proportional to 97,625.76, 146,271.45 and 53,283.63 is: 79,834.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,625.76 : 146,271.45 = 53,283.63 : x
  2. Step 2: Convert to fraction form
    97,625.76/146,271.45 = 53,283.63/x
  3. Step 3: Cross multiply
    97,625.76x = 146,271.45 × 53,283.63
  4. Step 4: Simplify right side
    97,625.76x = 7,793,873,821.36
  5. Step 5: Solve for x
    x = 7,793,873,821.36/97,625.76
  6. Step 6: Final answer
    x = 79,834.19

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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.