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Finding the Fourth Proportional to 35,588, 53,389.58 and 10,630

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Solution

The fourth proportional to 35,588, 53,389.58 and 10,630 is: 15,947.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,588 : 53,389.58 = 10,630 : x
  2. Step 2: Convert to fraction form
    35,588/53,389.58 = 10,630/x
  3. Step 3: Cross multiply
    35,588x = 53,389.58 × 10,630
  4. Step 4: Simplify right side
    35,588x = 567,531,235.40
  5. Step 5: Solve for x
    x = 567,531,235.40/35,588
  6. Step 6: Final answer
    x = 15,947.26

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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.