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Finding the Fourth Proportional to 30,827.60, 46,241.60 and 10,051.10

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Solution

The fourth proportional to 30,827.60, 46,241.60 and 10,051.10 is: 15,076.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,827.60 : 46,241.60 = 10,051.10 : x
  2. Step 2: Convert to fraction form
    30,827.60/46,241.60 = 10,051.10/x
  3. Step 3: Cross multiply
    30,827.60x = 46,241.60 × 10,051.10
  4. Step 4: Simplify right side
    30,827.60x = 464,778,945.76
  5. Step 5: Solve for x
    x = 464,778,945.76/30,827.60
  6. Step 6: Final answer
    x = 15,076.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.