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Finding the Fourth Proportional to 30,869.40, 46,304.08 and 7,495.68

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Solution

The fourth proportional to 30,869.40, 46,304.08 and 7,495.68 is: 11,243.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,869.40 : 46,304.08 = 7,495.68 : x
  2. Step 2: Convert to fraction form
    30,869.40/46,304.08 = 7,495.68/x
  3. Step 3: Cross multiply
    30,869.40x = 46,304.08 × 7,495.68
  4. Step 4: Simplify right side
    30,869.40x = 347,080,566.37
  5. Step 5: Solve for x
    x = 347,080,566.37/30,869.40
  6. Step 6: Final answer
    x = 11,243.52

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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.