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Finding the Fourth Proportional to 70,850, 97,773.01 and 39,018.84

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Solution

The fourth proportional to 70,850, 97,773.01 and 39,018.84 is: 53,846.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,850 : 97,773.01 = 39,018.84 : x
  2. Step 2: Convert to fraction form
    70,850/97,773.01 = 39,018.84/x
  3. Step 3: Cross multiply
    70,850x = 97,773.01 × 39,018.84
  4. Step 4: Simplify right side
    70,850x = 3,814,989,433.51
  5. Step 5: Solve for x
    x = 3,814,989,433.51/70,850
  6. Step 6: Final answer
    x = 53,846.00

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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.