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Finding the Fourth Proportional to 35,897.32, 53,869.02 and 17,419.24

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Solution

The fourth proportional to 35,897.32, 53,869.02 and 17,419.24 is: 26,140.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,897.32 : 53,869.02 = 17,419.24 : x
  2. Step 2: Convert to fraction form
    35,897.32/53,869.02 = 17,419.24/x
  3. Step 3: Cross multiply
    35,897.32x = 53,869.02 × 17,419.24
  4. Step 4: Simplify right side
    35,897.32x = 938,357,387.94
  5. Step 5: Solve for x
    x = 938,357,387.94/35,897.32
  6. Step 6: Final answer
    x = 26,140.04

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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.