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Finding the Fourth Proportional to 101,017.68, 151,511.94 and 30,878.16

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Solution

The fourth proportional to 101,017.68, 151,511.94 and 30,878.16 is: 46,312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,017.68 : 151,511.94 = 30,878.16 : x
  2. Step 2: Convert to fraction form
    101,017.68/151,511.94 = 30,878.16/x
  3. Step 3: Cross multiply
    101,017.68x = 151,511.94 × 30,878.16
  4. Step 4: Simplify right side
    101,017.68x = 4,678,409,925.23
  5. Step 5: Solve for x
    x = 4,678,409,925.23/101,017.68
  6. Step 6: Final answer
    x = 46,312.78

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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.