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Finding the Fourth Proportional to 47,303.92, 65,211.60 and 37,214.87

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Solution

The fourth proportional to 47,303.92, 65,211.60 and 37,214.87 is: 51,303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,303.92 : 65,211.60 = 37,214.87 : x
  2. Step 2: Convert to fraction form
    47,303.92/65,211.60 = 37,214.87/x
  3. Step 3: Cross multiply
    47,303.92x = 65,211.60 × 37,214.87
  4. Step 4: Simplify right side
    47,303.92x = 2,426,840,820.66
  5. Step 5: Solve for x
    x = 2,426,840,820.66/47,303.92
  6. Step 6: Final answer
    x = 51,303.16

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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.