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Finding the Fourth Proportional to 96,389.64, 133,016.40 and 53,948.16

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Solution

The fourth proportional to 96,389.64, 133,016.40 and 53,948.16 is: 74,447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,389.64 : 133,016.40 = 53,948.16 : x
  2. Step 2: Convert to fraction form
    96,389.64/133,016.40 = 53,948.16/x
  3. Step 3: Cross multiply
    96,389.64x = 133,016.40 × 53,948.16
  4. Step 4: Simplify right side
    96,389.64x = 7,175,990,029.82
  5. Step 5: Solve for x
    x = 7,175,990,029.82/96,389.64
  6. Step 6: Final answer
    x = 74,447.73

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1.5x scale

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.