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Finding the Fourth Proportional to 34,484, 47,587.98 and 19,580

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Solution

The fourth proportional to 34,484, 47,587.98 and 19,580 is: 27,020.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,484 : 47,587.98 = 19,580 : x
  2. Step 2: Convert to fraction form
    34,484/47,587.98 = 19,580/x
  3. Step 3: Cross multiply
    34,484x = 47,587.98 × 19,580
  4. Step 4: Simplify right side
    34,484x = 931,772,648.40
  5. Step 5: Solve for x
    x = 931,772,648.40/34,484
  6. Step 6: Final answer
    x = 27,020.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.