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Finding the Fourth Proportional to 43,319, 59,780.40 and 23,447

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Solution

The fourth proportional to 43,319, 59,780.40 and 23,447 is: 32,356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,319 : 59,780.40 = 23,447 : x
  2. Step 2: Convert to fraction form
    43,319/59,780.40 = 23,447/x
  3. Step 3: Cross multiply
    43,319x = 59,780.40 × 23,447
  4. Step 4: Simplify right side
    43,319x = 1,401,671,038.80
  5. Step 5: Solve for x
    x = 1,401,671,038.80/43,319
  6. Step 6: Final answer
    x = 32,356.96

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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.