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Finding the Fourth Proportional to 116,317.84, 174,507 and 33,218.32

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Solution

The fourth proportional to 116,317.84, 174,507 and 33,218.32 is: 49,836.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,317.84 : 174,507 = 33,218.32 : x
  2. Step 2: Convert to fraction form
    116,317.84/174,507 = 33,218.32/x
  3. Step 3: Cross multiply
    116,317.84x = 174,507 × 33,218.32
  4. Step 4: Simplify right side
    116,317.84x = 5,796,829,368.24
  5. Step 5: Solve for x
    x = 5,796,829,368.24/116,317.84
  6. Step 6: Final answer
    x = 49,836.12

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Why These Related Problems?

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