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Finding the Fourth Proportional to 35,513.87, 53,256.94 and 13,315.13

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Solution

The fourth proportional to 35,513.87, 53,256.94 and 13,315.13 is: 19,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,513.87 : 53,256.94 = 13,315.13 : x
  2. Step 2: Convert to fraction form
    35,513.87/53,256.94 = 13,315.13/x
  3. Step 3: Cross multiply
    35,513.87x = 53,256.94 × 13,315.13
  4. Step 4: Simplify right side
    35,513.87x = 709,123,079.50
  5. Step 5: Solve for x
    x = 709,123,079.50/35,513.87
  6. Step 6: Final answer
    x = 19,967.50

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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.