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Finding the Fourth Proportional to 30,988.94, 46,486.11 and 8,802.50

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Solution

The fourth proportional to 30,988.94, 46,486.11 and 8,802.50 is: 13,204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,988.94 : 46,486.11 = 8,802.50 : x
  2. Step 2: Convert to fraction form
    30,988.94/46,486.11 = 8,802.50/x
  3. Step 3: Cross multiply
    30,988.94x = 46,486.11 × 8,802.50
  4. Step 4: Simplify right side
    30,988.94x = 409,193,983.28
  5. Step 5: Solve for x
    x = 409,193,983.28/30,988.94
  6. Step 6: Final answer
    x = 13,204.52

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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.