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Finding the Fourth Proportional to 36,516, 54,779.54 and 11,547.75

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Solution

The fourth proportional to 36,516, 54,779.54 and 11,547.75 is: 17,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,516 : 54,779.54 = 11,547.75 : x
  2. Step 2: Convert to fraction form
    36,516/54,779.54 = 11,547.75/x
  3. Step 3: Cross multiply
    36,516x = 54,779.54 × 11,547.75
  4. Step 4: Simplify right side
    36,516x = 632,580,433.04
  5. Step 5: Solve for x
    x = 632,580,433.04/36,516
  6. Step 6: Final answer
    x = 17,323.38

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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.