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Finding the Fourth Proportional to 51,038.30, 70,408.28 and 33,138.92

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Solution

The fourth proportional to 51,038.30, 70,408.28 and 33,138.92 is: 45,715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,038.30 : 70,408.28 = 33,138.92 : x
  2. Step 2: Convert to fraction form
    51,038.30/70,408.28 = 33,138.92/x
  3. Step 3: Cross multiply
    51,038.30x = 70,408.28 × 33,138.92
  4. Step 4: Simplify right side
    51,038.30x = 2,333,254,358.26
  5. Step 5: Solve for x
    x = 2,333,254,358.26/51,038.30
  6. Step 6: Final answer
    x = 45,715.75

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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.