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Finding the Fourth Proportional to 102,063.19, 153,077.50 and 30,968.68

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Solution

The fourth proportional to 102,063.19, 153,077.50 and 30,968.68 is: 46,447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,063.19 : 153,077.50 = 30,968.68 : x
  2. Step 2: Convert to fraction form
    102,063.19/153,077.50 = 30,968.68/x
  3. Step 3: Cross multiply
    102,063.19x = 153,077.50 × 30,968.68
  4. Step 4: Simplify right side
    102,063.19x = 4,740,607,192.47
  5. Step 5: Solve for x
    x = 4,740,607,192.47/102,063.19
  6. Step 6: Final answer
    x = 46,447.77

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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.