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Finding the Fourth Proportional to 30,989.94, 46,487.98 and 9,924.68

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Solution

The fourth proportional to 30,989.94, 46,487.98 and 9,924.68 is: 14,888.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,989.94 : 46,487.98 = 9,924.68 : x
  2. Step 2: Convert to fraction form
    30,989.94/46,487.98 = 9,924.68/x
  3. Step 3: Cross multiply
    30,989.94x = 46,487.98 × 9,924.68
  4. Step 4: Simplify right side
    30,989.94x = 461,378,325.35
  5. Step 5: Solve for x
    x = 461,378,325.35/30,989.94
  6. Step 6: Final answer
    x = 14,888.00

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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.