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Finding the Fourth Proportional to 30,901, 46,352.94 and 9,013

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Solution

The fourth proportional to 30,901, 46,352.94 and 9,013 is: 13,519.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,901 : 46,352.94 = 9,013 : x
  2. Step 2: Convert to fraction form
    30,901/46,352.94 = 9,013/x
  3. Step 3: Cross multiply
    30,901x = 46,352.94 × 9,013
  4. Step 4: Simplify right side
    30,901x = 417,779,048.22
  5. Step 5: Solve for x
    x = 417,779,048.22/30,901
  6. Step 6: Final answer
    x = 13,519.92

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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.