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Finding the Fourth Proportional to 83,010.50, 114,554.49 and 53,202.50

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Solution

The fourth proportional to 83,010.50, 114,554.49 and 53,202.50 is: 73,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,010.50 : 114,554.49 = 53,202.50 : x
  2. Step 2: Convert to fraction form
    83,010.50/114,554.49 = 53,202.50/x
  3. Step 3: Cross multiply
    83,010.50x = 114,554.49 × 53,202.50
  4. Step 4: Simplify right side
    83,010.50x = 6,094,585,254.23
  5. Step 5: Solve for x
    x = 6,094,585,254.23/83,010.50
  6. Step 6: Final answer
    x = 73,419.45

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1.5x scale

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.