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Finding the Fourth Proportional to 75,869.84, 104,684.75 and 43,598.23

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Solution

The fourth proportional to 75,869.84, 104,684.75 and 43,598.23 is: 60,156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,869.84 : 104,684.75 = 43,598.23 : x
  2. Step 2: Convert to fraction form
    75,869.84/104,684.75 = 43,598.23/x
  3. Step 3: Cross multiply
    75,869.84x = 104,684.75 × 43,598.23
  4. Step 4: Simplify right side
    75,869.84x = 4,564,069,655.28
  5. Step 5: Solve for x
    x = 4,564,069,655.28/75,869.84
  6. Step 6: Final answer
    x = 60,156.57

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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.