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Finding the Fourth Proportional to 35,606.48, 53,411.10 and 10,646.90

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Solution

The fourth proportional to 35,606.48, 53,411.10 and 10,646.90 is: 15,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,606.48 : 53,411.10 = 10,646.90 : x
  2. Step 2: Convert to fraction form
    35,606.48/53,411.10 = 10,646.90/x
  3. Step 3: Cross multiply
    35,606.48x = 53,411.10 × 10,646.90
  4. Step 4: Simplify right side
    35,606.48x = 568,662,640.59
  5. Step 5: Solve for x
    x = 568,662,640.59/35,606.48
  6. Step 6: Final answer
    x = 15,970.76

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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.