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Finding the Fourth Proportional to 35,336, 53,028.30 and 14,559.50

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Solution

The fourth proportional to 35,336, 53,028.30 and 14,559.50 is: 21,849.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,336 : 53,028.30 = 14,559.50 : x
  2. Step 2: Convert to fraction form
    35,336/53,028.30 = 14,559.50/x
  3. Step 3: Cross multiply
    35,336x = 53,028.30 × 14,559.50
  4. Step 4: Simplify right side
    35,336x = 772,065,533.85
  5. Step 5: Solve for x
    x = 772,065,533.85/35,336
  6. Step 6: Final answer
    x = 21,849.26

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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.