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Finding the Fourth Proportional to 30,702.96, 46,054.44 and 9,928.08

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Solution

The fourth proportional to 30,702.96, 46,054.44 and 9,928.08 is: 14,892.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,702.96 : 46,054.44 = 9,928.08 : x
  2. Step 2: Convert to fraction form
    30,702.96/46,054.44 = 9,928.08/x
  3. Step 3: Cross multiply
    30,702.96x = 46,054.44 × 9,928.08
  4. Step 4: Simplify right side
    30,702.96x = 457,232,164.68
  5. Step 5: Solve for x
    x = 457,232,164.68/30,702.96
  6. Step 6: Final answer
    x = 14,892.12

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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.