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Finding the Fourth Proportional to 53,461.98, 73,769.40 and 30,492

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Solution

The fourth proportional to 53,461.98, 73,769.40 and 30,492 is: 42,074.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,461.98 : 73,769.40 = 30,492 : x
  2. Step 2: Convert to fraction form
    53,461.98/73,769.40 = 30,492/x
  3. Step 3: Cross multiply
    53,461.98x = 73,769.40 × 30,492
  4. Step 4: Simplify right side
    53,461.98x = 2,249,376,544.80
  5. Step 5: Solve for x
    x = 2,249,376,544.80/53,461.98
  6. Step 6: Final answer
    x = 42,074.32

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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.