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Finding the Fourth Proportional to 42,822.40, 64,232.40 and 19,448.80

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Solution

The fourth proportional to 42,822.40, 64,232.40 and 19,448.80 is: 29,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,822.40 : 64,232.40 = 19,448.80 : x
  2. Step 2: Convert to fraction form
    42,822.40/64,232.40 = 19,448.80/x
  3. Step 3: Cross multiply
    42,822.40x = 64,232.40 × 19,448.80
  4. Step 4: Simplify right side
    42,822.40x = 1,249,243,101.12
  5. Step 5: Solve for x
    x = 1,249,243,101.12/42,822.40
  6. Step 6: Final answer
    x = 29,172.65

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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.