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Finding the Fourth Proportional to 64,208.84, 96,317.87 and 19,829.83

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Solution

The fourth proportional to 64,208.84, 96,317.87 and 19,829.83 is: 29,746.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,208.84 : 96,317.87 = 19,829.83 : x
  2. Step 2: Convert to fraction form
    64,208.84/96,317.87 = 19,829.83/x
  3. Step 3: Cross multiply
    64,208.84x = 96,317.87 × 19,829.83
  4. Step 4: Simplify right side
    64,208.84x = 1,909,966,561.80
  5. Step 5: Solve for x
    x = 1,909,966,561.80/64,208.84
  6. Step 6: Final answer
    x = 29,746.16

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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.