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Finding the Fourth Proportional to 30,970.88, 46,456.08 and 10,194.32

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Solution

The fourth proportional to 30,970.88, 46,456.08 and 10,194.32 is: 15,291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.88 : 46,456.08 = 10,194.32 : x
  2. Step 2: Convert to fraction form
    30,970.88/46,456.08 = 10,194.32/x
  3. Step 3: Cross multiply
    30,970.88x = 46,456.08 × 10,194.32
  4. Step 4: Simplify right side
    30,970.88x = 473,588,145.47
  5. Step 5: Solve for x
    x = 473,588,145.47/30,970.88
  6. Step 6: Final answer
    x = 15,291.40

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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.