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Finding the Fourth Proportional to 30,678.76, 46,018.34 and 9,902.26

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Solution

The fourth proportional to 30,678.76, 46,018.34 and 9,902.26 is: 14,853.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678.76 : 46,018.34 = 9,902.26 : x
  2. Step 2: Convert to fraction form
    30,678.76/46,018.34 = 9,902.26/x
  3. Step 3: Cross multiply
    30,678.76x = 46,018.34 × 9,902.26
  4. Step 4: Simplify right side
    30,678.76x = 455,685,567.45
  5. Step 5: Solve for x
    x = 455,685,567.45/30,678.76
  6. Step 6: Final answer
    x = 14,853.45

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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.