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Finding the Fourth Proportional to 30,077.16, 45,107.04 and 9,016.32

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Solution

The fourth proportional to 30,077.16, 45,107.04 and 9,016.32 is: 13,521.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,077.16 : 45,107.04 = 9,016.32 : x
  2. Step 2: Convert to fraction form
    30,077.16/45,107.04 = 9,016.32/x
  3. Step 3: Cross multiply
    30,077.16x = 45,107.04 × 9,016.32
  4. Step 4: Simplify right side
    30,077.16x = 406,699,506.89
  5. Step 5: Solve for x
    x = 406,699,506.89/30,077.16
  6. Step 6: Final answer
    x = 13,521.87

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1.5x scale

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.