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Finding the Fourth Proportional to 117,447.29, 162,009.47 and 74,957.93

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Solution

The fourth proportional to 117,447.29, 162,009.47 and 74,957.93 is: 103,398.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,447.29 : 162,009.47 = 74,957.93 : x
  2. Step 2: Convert to fraction form
    117,447.29/162,009.47 = 74,957.93/x
  3. Step 3: Cross multiply
    117,447.29x = 162,009.47 × 74,957.93
  4. Step 4: Simplify right side
    117,447.29x = 12,143,894,511.60
  5. Step 5: Solve for x
    x = 12,143,894,511.60/117,447.29
  6. Step 6: Final answer
    x = 103,398.68

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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.