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Finding the Fourth Proportional to 64,158.69, 96,254.64 and 19,784.46

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Solution

The fourth proportional to 64,158.69, 96,254.64 and 19,784.46 is: 29,681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,158.69 : 96,254.64 = 19,784.46 : x
  2. Step 2: Convert to fraction form
    64,158.69/96,254.64 = 19,784.46/x
  3. Step 3: Cross multiply
    64,158.69x = 96,254.64 × 19,784.46
  4. Step 4: Simplify right side
    64,158.69x = 1,904,346,074.89
  5. Step 5: Solve for x
    x = 1,904,346,074.89/64,158.69
  6. Step 6: Final answer
    x = 29,681.81

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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.