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Finding the Fourth Proportional to 74,387.63, 102,664.29 and 46,097.57

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Solution

The fourth proportional to 74,387.63, 102,664.29 and 46,097.57 is: 63,620.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,387.63 : 102,664.29 = 46,097.57 : x
  2. Step 2: Convert to fraction form
    74,387.63/102,664.29 = 46,097.57/x
  3. Step 3: Cross multiply
    74,387.63x = 102,664.29 × 46,097.57
  4. Step 4: Simplify right side
    74,387.63x = 4,732,573,781.45
  5. Step 5: Solve for x
    x = 4,732,573,781.45/74,387.63
  6. Step 6: Final answer
    x = 63,620.44

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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.