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Finding the Fourth Proportional to 30,924.48, 46,376.16 and 10,143.20

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Solution

The fourth proportional to 30,924.48, 46,376.16 and 10,143.20 is: 15,211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,924.48 : 46,376.16 = 10,143.20 : x
  2. Step 2: Convert to fraction form
    30,924.48/46,376.16 = 10,143.20/x
  3. Step 3: Cross multiply
    30,924.48x = 46,376.16 × 10,143.20
  4. Step 4: Simplify right side
    30,924.48x = 470,402,666.11
  5. Step 5: Solve for x
    x = 470,402,666.11/30,924.48
  6. Step 6: Final answer
    x = 15,211.34

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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.