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Finding the Fourth Proportional to 96,409.68, 133,044 and 53,968.16

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Solution

The fourth proportional to 96,409.68, 133,044 and 53,968.16 is: 74,475.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,409.68 : 133,044 = 53,968.16 : x
  2. Step 2: Convert to fraction form
    96,409.68/133,044 = 53,968.16/x
  3. Step 3: Cross multiply
    96,409.68x = 133,044 × 53,968.16
  4. Step 4: Simplify right side
    96,409.68x = 7,180,139,879.04
  5. Step 5: Solve for x
    x = 7,180,139,879.04/96,409.68
  6. Step 6: Final answer
    x = 74,475.30

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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.