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Finding the Fourth Proportional to 55,649.90, 83,475 and 16,207.98

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Solution

The fourth proportional to 55,649.90, 83,475 and 16,207.98 is: 24,312.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,649.90 : 83,475 = 16,207.98 : x
  2. Step 2: Convert to fraction form
    55,649.90/83,475 = 16,207.98/x
  3. Step 3: Cross multiply
    55,649.90x = 83,475 × 16,207.98
  4. Step 4: Simplify right side
    55,649.90x = 1,352,961,130.50
  5. Step 5: Solve for x
    x = 1,352,961,130.50/55,649.90
  6. Step 6: Final answer
    x = 24,312.01

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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.