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Finding the Fourth Proportional to 50,742.84, 70,025.26 and 28,083.40

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Solution

The fourth proportional to 50,742.84, 70,025.26 and 28,083.40 is: 38,755.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,742.84 : 70,025.26 = 28,083.40 : x
  2. Step 2: Convert to fraction form
    50,742.84/70,025.26 = 28,083.40/x
  3. Step 3: Cross multiply
    50,742.84x = 70,025.26 × 28,083.40
  4. Step 4: Simplify right side
    50,742.84x = 1,966,547,386.68
  5. Step 5: Solve for x
    x = 1,966,547,386.68/50,742.84
  6. Step 6: Final answer
    x = 38,755.17

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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.