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Finding the Fourth Proportional to 117,284.76, 175,925.62 and 28,538.33

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Solution

The fourth proportional to 117,284.76, 175,925.62 and 28,538.33 is: 42,807.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,284.76 : 175,925.62 = 28,538.33 : x
  2. Step 2: Convert to fraction form
    117,284.76/175,925.62 = 28,538.33/x
  3. Step 3: Cross multiply
    117,284.76x = 175,925.62 × 28,538.33
  4. Step 4: Simplify right side
    117,284.76x = 5,020,622,555.06
  5. Step 5: Solve for x
    x = 5,020,622,555.06/117,284.76
  6. Step 6: Final answer
    x = 42,807.12

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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.