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Finding the Fourth Proportional to 47,083.84, 70,646.28 and 17,495.08

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Solution

The fourth proportional to 47,083.84, 70,646.28 and 17,495.08 is: 26,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,083.84 : 70,646.28 = 17,495.08 : x
  2. Step 2: Convert to fraction form
    47,083.84/70,646.28 = 17,495.08/x
  3. Step 3: Cross multiply
    47,083.84x = 70,646.28 × 17,495.08
  4. Step 4: Simplify right side
    47,083.84x = 1,235,962,320.30
  5. Step 5: Solve for x
    x = 1,235,962,320.30/47,083.84
  6. Step 6: Final answer
    x = 26,250.24

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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.