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Finding the Fourth Proportional to 30,537.44, 45,810.48 and 9,756.08

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Solution

The fourth proportional to 30,537.44, 45,810.48 and 9,756.08 is: 14,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,537.44 : 45,810.48 = 9,756.08 : x
  2. Step 2: Convert to fraction form
    30,537.44/45,810.48 = 9,756.08/x
  3. Step 3: Cross multiply
    30,537.44x = 45,810.48 × 9,756.08
  4. Step 4: Simplify right side
    30,537.44x = 446,930,707.72
  5. Step 5: Solve for x
    x = 446,930,707.72/30,537.44
  6. Step 6: Final answer
    x = 14,635.50

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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.