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Finding the Fourth Proportional to 96,258, 144,445.32 and 40,854

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Solution

The fourth proportional to 96,258, 144,445.32 and 40,854 is: 61,305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,258 : 144,445.32 = 40,854 : x
  2. Step 2: Convert to fraction form
    96,258/144,445.32 = 40,854/x
  3. Step 3: Cross multiply
    96,258x = 144,445.32 × 40,854
  4. Step 4: Simplify right side
    96,258x = 5,901,169,103.28
  5. Step 5: Solve for x
    x = 5,901,169,103.28/96,258
  6. Step 6: Final answer
    x = 61,305.75

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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.