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Finding the Fourth Proportional to 96,403.68, 133,035.68 and 53,962.16

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Solution

The fourth proportional to 96,403.68, 133,035.68 and 53,962.16 is: 74,467.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,403.68 : 133,035.68 = 53,962.16 : x
  2. Step 2: Convert to fraction form
    96,403.68/133,035.68 = 53,962.16/x
  3. Step 3: Cross multiply
    96,403.68x = 133,035.68 × 53,962.16
  4. Step 4: Simplify right side
    96,403.68x = 7,178,892,649.87
  5. Step 5: Solve for x
    x = 7,178,892,649.87/96,403.68
  6. Step 6: Final answer
    x = 74,467.00

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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.