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Finding the Fourth Proportional to 51,222, 70,681.17 and 28,558.84

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Solution

The fourth proportional to 51,222, 70,681.17 and 28,558.84 is: 39,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,222 : 70,681.17 = 28,558.84 : x
  2. Step 2: Convert to fraction form
    51,222/70,681.17 = 28,558.84/x
  3. Step 3: Cross multiply
    51,222x = 70,681.17 × 28,558.84
  4. Step 4: Simplify right side
    51,222x = 2,018,572,225.04
  5. Step 5: Solve for x
    x = 2,018,572,225.04/51,222
  6. Step 6: Final answer
    x = 39,408.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.