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Finding the Fourth Proportional to 76,203, 105,160.14 and 46,395

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Solution

The fourth proportional to 76,203, 105,160.14 and 46,395 is: 64,025.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,203 : 105,160.14 = 46,395 : x
  2. Step 2: Convert to fraction form
    76,203/105,160.14 = 46,395/x
  3. Step 3: Cross multiply
    76,203x = 105,160.14 × 46,395
  4. Step 4: Simplify right side
    76,203x = 4,878,904,695.30
  5. Step 5: Solve for x
    x = 4,878,904,695.30/76,203
  6. Step 6: Final answer
    x = 64,025.10

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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.