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Finding the Fourth Proportional to 35,775.76, 53,667.31 and 9,480.50

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Solution

The fourth proportional to 35,775.76, 53,667.31 and 9,480.50 is: 14,221.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,775.76 : 53,667.31 = 9,480.50 : x
  2. Step 2: Convert to fraction form
    35,775.76/53,667.31 = 9,480.50/x
  3. Step 3: Cross multiply
    35,775.76x = 53,667.31 × 9,480.50
  4. Step 4: Simplify right side
    35,775.76x = 508,792,616.72
  5. Step 5: Solve for x
    x = 508,792,616.72/35,775.76
  6. Step 6: Final answer
    x = 14,221.72

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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.