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Finding the Fourth Proportional to 50,547, 75,820.56 and 13,611

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Solution

The fourth proportional to 50,547, 75,820.56 and 13,611 is: 20,416.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,547 : 75,820.56 = 13,611 : x
  2. Step 2: Convert to fraction form
    50,547/75,820.56 = 13,611/x
  3. Step 3: Cross multiply
    50,547x = 75,820.56 × 13,611
  4. Step 4: Simplify right side
    50,547x = 1,031,993,642.16
  5. Step 5: Solve for x
    x = 1,031,993,642.16/50,547
  6. Step 6: Final answer
    x = 20,416.52

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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.