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Finding the Fourth Proportional to 51,380, 77,070.02 and 14,444

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Solution

The fourth proportional to 51,380, 77,070.02 and 14,444 is: 21,666.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,380 : 77,070.02 = 14,444 : x
  2. Step 2: Convert to fraction form
    51,380/77,070.02 = 14,444/x
  3. Step 3: Cross multiply
    51,380x = 77,070.02 × 14,444
  4. Step 4: Simplify right side
    51,380x = 1,113,199,368.88
  5. Step 5: Solve for x
    x = 1,113,199,368.88/51,380
  6. Step 6: Final answer
    x = 21,666.01

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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.