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Finding the Fourth Proportional to 47,122.64, 65,032.20 and 25,903.76

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Solution

The fourth proportional to 47,122.64, 65,032.20 and 25,903.76 is: 35,748.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,122.64 : 65,032.20 = 25,903.76 : x
  2. Step 2: Convert to fraction form
    47,122.64/65,032.20 = 25,903.76/x
  3. Step 3: Cross multiply
    47,122.64x = 65,032.20 × 25,903.76
  4. Step 4: Simplify right side
    47,122.64x = 1,684,578,501.07
  5. Step 5: Solve for x
    x = 1,684,578,501.07/47,122.64
  6. Step 6: Final answer
    x = 35,748.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.