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Finding the Fourth Proportional to 46,926, 70,416.14 and 17,364.24

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Solution

The fourth proportional to 46,926, 70,416.14 and 17,364.24 is: 26,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,926 : 70,416.14 = 17,364.24 : x
  2. Step 2: Convert to fraction form
    46,926/70,416.14 = 17,364.24/x
  3. Step 3: Cross multiply
    46,926x = 70,416.14 × 17,364.24
  4. Step 4: Simplify right side
    46,926x = 1,222,722,668.01
  5. Step 5: Solve for x
    x = 1,222,722,668.01/46,926
  6. Step 6: Final answer
    x = 26,056.40

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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.