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Finding the Fourth Proportional to 46,780, 64,608.72 and 36,296.80

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Solution

The fourth proportional to 46,780, 64,608.72 and 36,296.80 is: 50,130.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,780 : 64,608.72 = 36,296.80 : x
  2. Step 2: Convert to fraction form
    46,780/64,608.72 = 36,296.80/x
  3. Step 3: Cross multiply
    46,780x = 64,608.72 × 36,296.80
  4. Step 4: Simplify right side
    46,780x = 2,345,089,788.10
  5. Step 5: Solve for x
    x = 2,345,089,788.10/46,780
  6. Step 6: Final answer
    x = 50,130.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.