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Finding the Fourth Proportional to 57,317.34, 85,978.77 and 24,038.49

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Solution

The fourth proportional to 57,317.34, 85,978.77 and 24,038.49 is: 36,058.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,317.34 : 85,978.77 = 24,038.49 : x
  2. Step 2: Convert to fraction form
    57,317.34/85,978.77 = 24,038.49/x
  3. Step 3: Cross multiply
    57,317.34x = 85,978.77 × 24,038.49
  4. Step 4: Simplify right side
    57,317.34x = 2,066,799,802.86
  5. Step 5: Solve for x
    x = 2,066,799,802.86/57,317.34
  6. Step 6: Final answer
    x = 36,058.89

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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.