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Finding the Fourth Proportional to 30,137.34, 45,205.41 and 9,360.78

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Solution

The fourth proportional to 30,137.34, 45,205.41 and 9,360.78 is: 14,040.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,137.34 : 45,205.41 = 9,360.78 : x
  2. Step 2: Convert to fraction form
    30,137.34/45,205.41 = 9,360.78/x
  3. Step 3: Cross multiply
    30,137.34x = 45,205.41 × 9,360.78
  4. Step 4: Simplify right side
    30,137.34x = 423,157,897.82
  5. Step 5: Solve for x
    x = 423,157,897.82/30,137.34
  6. Step 6: Final answer
    x = 14,040.98

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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.