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Finding the Fourth Proportional to 75,477.84, 104,151.05 and 45,264.43

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Solution

The fourth proportional to 75,477.84, 104,151.05 and 45,264.43 is: 62,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,477.84 : 104,151.05 = 45,264.43 : x
  2. Step 2: Convert to fraction form
    75,477.84/104,151.05 = 45,264.43/x
  3. Step 3: Cross multiply
    75,477.84x = 104,151.05 × 45,264.43
  4. Step 4: Simplify right side
    75,477.84x = 4,714,337,985.76
  5. Step 5: Solve for x
    x = 4,714,337,985.76/75,477.84
  6. Step 6: Final answer
    x = 62,459.90

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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.