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Finding the Fourth Proportional to 37,830.40, 56,745.60 and 9,750.40

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Solution

The fourth proportional to 37,830.40, 56,745.60 and 9,750.40 is: 14,625.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,830.40 : 56,745.60 = 9,750.40 : x
  2. Step 2: Convert to fraction form
    37,830.40/56,745.60 = 9,750.40/x
  3. Step 3: Cross multiply
    37,830.40x = 56,745.60 × 9,750.40
  4. Step 4: Simplify right side
    37,830.40x = 553,292,298.24
  5. Step 5: Solve for x
    x = 553,292,298.24/37,830.40
  6. Step 6: Final answer
    x = 14,625.60

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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.