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Finding the Fourth Proportional to 102,097.50, 153,146.25 and 39,811.74

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Solution

The fourth proportional to 102,097.50, 153,146.25 and 39,811.74 is: 59,717.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,097.50 : 153,146.25 = 39,811.74 : x
  2. Step 2: Convert to fraction form
    102,097.50/153,146.25 = 39,811.74/x
  3. Step 3: Cross multiply
    102,097.50x = 153,146.25 × 39,811.74
  4. Step 4: Simplify right side
    102,097.50x = 6,097,018,686.98
  5. Step 5: Solve for x
    x = 6,097,018,686.98/102,097.50
  6. Step 6: Final answer
    x = 59,717.61

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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.