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Finding the Fourth Proportional to 30,537.84, 45,813.33 and 9,477.48

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Solution

The fourth proportional to 30,537.84, 45,813.33 and 9,477.48 is: 14,218.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,537.84 : 45,813.33 = 9,477.48 : x
  2. Step 2: Convert to fraction form
    30,537.84/45,813.33 = 9,477.48/x
  3. Step 3: Cross multiply
    30,537.84x = 45,813.33 × 9,477.48
  4. Step 4: Simplify right side
    30,537.84x = 434,194,918.81
  5. Step 5: Solve for x
    x = 434,194,918.81/30,537.84
  6. Step 6: Final answer
    x = 14,218.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.