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Finding the Fourth Proportional to 30,970.08, 46,460.88 and 10,208.16

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Solution

The fourth proportional to 30,970.08, 46,460.88 and 10,208.16 is: 15,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.08 : 46,460.88 = 10,208.16 : x
  2. Step 2: Convert to fraction form
    30,970.08/46,460.88 = 10,208.16/x
  3. Step 3: Cross multiply
    30,970.08x = 46,460.88 × 10,208.16
  4. Step 4: Simplify right side
    30,970.08x = 474,280,096.78
  5. Step 5: Solve for x
    x = 474,280,096.78/30,970.08
  6. Step 6: Final answer
    x = 15,314.14

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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.