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Finding the Fourth Proportional to 74,582, 102,925.38 and 41,048

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Solution

The fourth proportional to 74,582, 102,925.38 and 41,048 is: 56,647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,582 : 102,925.38 = 41,048 : x
  2. Step 2: Convert to fraction form
    74,582/102,925.38 = 41,048/x
  3. Step 3: Cross multiply
    74,582x = 102,925.38 × 41,048
  4. Step 4: Simplify right side
    74,582x = 4,224,880,998.24
  5. Step 5: Solve for x
    x = 4,224,880,998.24/74,582
  6. Step 6: Final answer
    x = 56,647.46

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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.