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Finding the Fourth Proportional to 54,706.48, 75,492.80 and 30,838

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Solution

The fourth proportional to 54,706.48, 75,492.80 and 30,838 is: 42,555.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,706.48 : 75,492.80 = 30,838 : x
  2. Step 2: Convert to fraction form
    54,706.48/75,492.80 = 30,838/x
  3. Step 3: Cross multiply
    54,706.48x = 75,492.80 × 30,838
  4. Step 4: Simplify right side
    54,706.48x = 2,328,046,966.40
  5. Step 5: Solve for x
    x = 2,328,046,966.40/54,706.48
  6. Step 6: Final answer
    x = 42,555.23

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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.