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Finding the Fourth Proportional to 46,878.01, 70,322.82 and 17,296

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Solution

The fourth proportional to 46,878.01, 70,322.82 and 17,296 is: 25,946.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,878.01 : 70,322.82 = 17,296 : x
  2. Step 2: Convert to fraction form
    46,878.01/70,322.82 = 17,296/x
  3. Step 3: Cross multiply
    46,878.01x = 70,322.82 × 17,296
  4. Step 4: Simplify right side
    46,878.01x = 1,216,303,494.72
  5. Step 5: Solve for x
    x = 1,216,303,494.72/46,878.01
  6. Step 6: Final answer
    x = 25,946.14

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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.