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Finding the Fourth Proportional to 98,715.36, 148,088.40 and 33,036

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Solution

The fourth proportional to 98,715.36, 148,088.40 and 33,036 is: 49,559.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,715.36 : 148,088.40 = 33,036 : x
  2. Step 2: Convert to fraction form
    98,715.36/148,088.40 = 33,036/x
  3. Step 3: Cross multiply
    98,715.36x = 148,088.40 × 33,036
  4. Step 4: Simplify right side
    98,715.36x = 4,892,248,382.40
  5. Step 5: Solve for x
    x = 4,892,248,382.40/98,715.36
  6. Step 6: Final answer
    x = 49,559.14

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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.