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Finding the Fourth Proportional to 30,567.32, 45,857.59 and 9,506.97

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Solution

The fourth proportional to 30,567.32, 45,857.59 and 9,506.97 is: 14,262.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,567.32 : 45,857.59 = 9,506.97 : x
  2. Step 2: Convert to fraction form
    30,567.32/45,857.59 = 9,506.97/x
  3. Step 3: Cross multiply
    30,567.32x = 45,857.59 × 9,506.97
  4. Step 4: Simplify right side
    30,567.32x = 435,966,762.11
  5. Step 5: Solve for x
    x = 435,966,762.11/30,567.32
  6. Step 6: Final answer
    x = 14,262.51

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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.