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Finding the Fourth Proportional to 64,398.88, 96,598.68 and 29,314

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Solution

The fourth proportional to 64,398.88, 96,598.68 and 29,314 is: 43,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,398.88 : 96,598.68 = 29,314 : x
  2. Step 2: Convert to fraction form
    64,398.88/96,598.68 = 29,314/x
  3. Step 3: Cross multiply
    64,398.88x = 96,598.68 × 29,314
  4. Step 4: Simplify right side
    64,398.88x = 2,831,693,705.52
  5. Step 5: Solve for x
    x = 2,831,693,705.52/64,398.88
  6. Step 6: Final answer
    x = 43,971.16

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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.