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Finding the Fourth Proportional to 64,072.61, 96,118.10 and 19,703.10

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Solution

The fourth proportional to 64,072.61, 96,118.10 and 19,703.10 is: 29,557.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,072.61 : 96,118.10 = 19,703.10 : x
  2. Step 2: Convert to fraction form
    64,072.61/96,118.10 = 19,703.10/x
  3. Step 3: Cross multiply
    64,072.61x = 96,118.10 × 19,703.10
  4. Step 4: Simplify right side
    64,072.61x = 1,893,824,437.59
  5. Step 5: Solve for x
    x = 1,893,824,437.59/64,072.61
  6. Step 6: Final answer
    x = 29,557.48

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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.