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Finding the Fourth Proportional to 29,345, 44,017.86 and 10,877

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Solution

The fourth proportional to 29,345, 44,017.86 and 10,877 is: 16,315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,345 : 44,017.86 = 10,877 : x
  2. Step 2: Convert to fraction form
    29,345/44,017.86 = 10,877/x
  3. Step 3: Cross multiply
    29,345x = 44,017.86 × 10,877
  4. Step 4: Simplify right side
    29,345x = 478,782,263.22
  5. Step 5: Solve for x
    x = 478,782,263.22/29,345
  6. Step 6: Final answer
    x = 16,315.63

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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.