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Finding the Fourth Proportional to 38,544.51, 57,820.65 and 10,465.02

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Solution

The fourth proportional to 38,544.51, 57,820.65 and 10,465.02 is: 15,698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,544.51 : 57,820.65 = 10,465.02 : x
  2. Step 2: Convert to fraction form
    38,544.51/57,820.65 = 10,465.02/x
  3. Step 3: Cross multiply
    38,544.51x = 57,820.65 × 10,465.02
  4. Step 4: Simplify right side
    38,544.51x = 605,094,258.66
  5. Step 5: Solve for x
    x = 605,094,258.66/38,544.51
  6. Step 6: Final answer
    x = 15,698.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.