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Finding the Fourth Proportional to 74,235, 102,444.84 and 40,701

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Solution

The fourth proportional to 74,235, 102,444.84 and 40,701 is: 56,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,235 : 102,444.84 = 40,701 : x
  2. Step 2: Convert to fraction form
    74,235/102,444.84 = 40,701/x
  3. Step 3: Cross multiply
    74,235x = 102,444.84 × 40,701
  4. Step 4: Simplify right side
    74,235x = 4,169,607,432.84
  5. Step 5: Solve for x
    x = 4,169,607,432.84/74,235
  6. Step 6: Final answer
    x = 56,167.68

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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.