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Finding the Fourth Proportional to 35,205, 52,801.74 and 24,785.16

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Solution

The fourth proportional to 35,205, 52,801.74 and 24,785.16 is: 37,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,205 : 52,801.74 = 24,785.16 : x
  2. Step 2: Convert to fraction form
    35,205/52,801.74 = 24,785.16/x
  3. Step 3: Cross multiply
    35,205x = 52,801.74 × 24,785.16
  4. Step 4: Simplify right side
    35,205x = 1,308,699,574.18
  5. Step 5: Solve for x
    x = 1,308,699,574.18/35,205
  6. Step 6: Final answer
    x = 37,173.68

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Why These Related Problems?

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