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Finding the Fourth Proportional to 30,513.12, 45,771.30 and 9,735

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Solution

The fourth proportional to 30,513.12, 45,771.30 and 9,735 is: 14,603.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,513.12 : 45,771.30 = 9,735 : x
  2. Step 2: Convert to fraction form
    30,513.12/45,771.30 = 9,735/x
  3. Step 3: Cross multiply
    30,513.12x = 45,771.30 × 9,735
  4. Step 4: Simplify right side
    30,513.12x = 445,583,605.50
  5. Step 5: Solve for x
    x = 445,583,605.50/30,513.12
  6. Step 6: Final answer
    x = 14,603.02

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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.