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Finding the Fourth Proportional to 74,567.86, 111,828.08 and 24,638.64

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Solution

The fourth proportional to 74,567.86, 111,828.08 and 24,638.64 is: 36,950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,567.86 : 111,828.08 = 24,638.64 : x
  2. Step 2: Convert to fraction form
    74,567.86/111,828.08 = 24,638.64/x
  3. Step 3: Cross multiply
    74,567.86x = 111,828.08 × 24,638.64
  4. Step 4: Simplify right side
    74,567.86x = 2,755,291,805.01
  5. Step 5: Solve for x
    x = 2,755,291,805.01/74,567.86
  6. Step 6: Final answer
    x = 36,950.13

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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.