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Finding the Fourth Proportional to 30,866.70, 46,298.76 and 13,092.46

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Solution

The fourth proportional to 30,866.70, 46,298.76 and 13,092.46 is: 19,638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,866.70 : 46,298.76 = 13,092.46 : x
  2. Step 2: Convert to fraction form
    30,866.70/46,298.76 = 13,092.46/x
  3. Step 3: Cross multiply
    30,866.70x = 46,298.76 × 13,092.46
  4. Step 4: Simplify right side
    30,866.70x = 606,164,663.35
  5. Step 5: Solve for x
    x = 606,164,663.35/30,866.70
  6. Step 6: Final answer
    x = 19,638.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.