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Finding the Fourth Proportional to 52,097.81, 71,837.10 and 37,729.22

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Solution

The fourth proportional to 52,097.81, 71,837.10 and 37,729.22 is: 52,024.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,097.81 : 71,837.10 = 37,729.22 : x
  2. Step 2: Convert to fraction form
    52,097.81/71,837.10 = 37,729.22/x
  3. Step 3: Cross multiply
    52,097.81x = 71,837.10 × 37,729.22
  4. Step 4: Simplify right side
    52,097.81x = 2,710,357,750.06
  5. Step 5: Solve for x
    x = 2,710,357,750.06/52,097.81
  6. Step 6: Final answer
    x = 52,024.41

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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.