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Finding the Fourth Proportional to 74,692, 103,077.12 and 41,160.16

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Solution

The fourth proportional to 74,692, 103,077.12 and 41,160.16 is: 56,802.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,692 : 103,077.12 = 41,160.16 : x
  2. Step 2: Convert to fraction form
    74,692/103,077.12 = 41,160.16/x
  3. Step 3: Cross multiply
    74,692x = 103,077.12 × 41,160.16
  4. Step 4: Simplify right side
    74,692x = 4,242,670,751.54
  5. Step 5: Solve for x
    x = 4,242,670,751.54/74,692
  6. Step 6: Final answer
    x = 56,802.21

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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.