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Finding the Fourth Proportional to 34,657, 47,831.34 and 19,552.76

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Solution

The fourth proportional to 34,657, 47,831.34 and 19,552.76 is: 26,985.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,657 : 47,831.34 = 19,552.76 : x
  2. Step 2: Convert to fraction form
    34,657/47,831.34 = 19,552.76/x
  3. Step 3: Cross multiply
    34,657x = 47,831.34 × 19,552.76
  4. Step 4: Simplify right side
    34,657x = 935,234,711.50
  5. Step 5: Solve for x
    x = 935,234,711.50/34,657
  6. Step 6: Final answer
    x = 26,985.45

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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.