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Finding the Fourth Proportional to 99,292.67, 137,024.81 and 53,970.75

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Solution

The fourth proportional to 99,292.67, 137,024.81 and 53,970.75 is: 74,480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,292.67 : 137,024.81 = 53,970.75 : x
  2. Step 2: Convert to fraction form
    99,292.67/137,024.81 = 53,970.75/x
  3. Step 3: Cross multiply
    99,292.67x = 137,024.81 × 53,970.75
  4. Step 4: Simplify right side
    99,292.67x = 7,395,331,494.45
  5. Step 5: Solve for x
    x = 7,395,331,494.45/99,292.67
  6. Step 6: Final answer
    x = 74,480.14

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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.