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Finding the Fourth Proportional to 30,837.48, 46,270.56 and 9,780.84

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Solution

The fourth proportional to 30,837.48, 46,270.56 and 9,780.84 is: 14,675.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,837.48 : 46,270.56 = 9,780.84 : x
  2. Step 2: Convert to fraction form
    30,837.48/46,270.56 = 9,780.84/x
  3. Step 3: Cross multiply
    30,837.48x = 46,270.56 × 9,780.84
  4. Step 4: Simplify right side
    30,837.48x = 452,564,944.07
  5. Step 5: Solve for x
    x = 452,564,944.07/30,837.48
  6. Step 6: Final answer
    x = 14,675.81

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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.