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Finding the Fourth Proportional to 30,530.31, 45,802.04 and 9,469.93

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Solution

The fourth proportional to 30,530.31, 45,802.04 and 9,469.93 is: 14,206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,530.31 : 45,802.04 = 9,469.93 : x
  2. Step 2: Convert to fraction form
    30,530.31/45,802.04 = 9,469.93/x
  3. Step 3: Cross multiply
    30,530.31x = 45,802.04 × 9,469.93
  4. Step 4: Simplify right side
    30,530.31x = 433,742,112.66
  5. Step 5: Solve for x
    x = 433,742,112.66/30,530.31
  6. Step 6: Final answer
    x = 14,206.93

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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.