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Finding the Fourth Proportional to 44,656.48, 66,986.34 and 13,492

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Solution

The fourth proportional to 44,656.48, 66,986.34 and 13,492 is: 20,238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,656.48 : 66,986.34 = 13,492 : x
  2. Step 2: Convert to fraction form
    44,656.48/66,986.34 = 13,492/x
  3. Step 3: Cross multiply
    44,656.48x = 66,986.34 × 13,492
  4. Step 4: Simplify right side
    44,656.48x = 903,779,699.28
  5. Step 5: Solve for x
    x = 903,779,699.28/44,656.48
  6. Step 6: Final answer
    x = 20,238.49

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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.