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Finding the Fourth Proportional to 34,657.16, 51,992.10 and 10,970.66

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Solution

The fourth proportional to 34,657.16, 51,992.10 and 10,970.66 is: 16,458.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,657.16 : 51,992.10 = 10,970.66 : x
  2. Step 2: Convert to fraction form
    34,657.16/51,992.10 = 10,970.66/x
  3. Step 3: Cross multiply
    34,657.16x = 51,992.10 × 10,970.66
  4. Step 4: Simplify right side
    34,657.16x = 570,387,391.83
  5. Step 5: Solve for x
    x = 570,387,391.83/34,657.16
  6. Step 6: Final answer
    x = 16,458.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.