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Finding the Fourth Proportional to 47,242.81, 65,140.98 and 35,285.98

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Solution

The fourth proportional to 47,242.81, 65,140.98 and 35,285.98 is: 48,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,242.81 : 65,140.98 = 35,285.98 : x
  2. Step 2: Convert to fraction form
    47,242.81/65,140.98 = 35,285.98/x
  3. Step 3: Cross multiply
    47,242.81x = 65,140.98 × 35,285.98
  4. Step 4: Simplify right side
    47,242.81x = 2,298,563,317.46
  5. Step 5: Solve for x
    x = 2,298,563,317.46/47,242.81
  6. Step 6: Final answer
    x = 48,654.25

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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.