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Finding the Fourth Proportional to 52,646.40, 78,900.44 and 24,952.32

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Solution

The fourth proportional to 52,646.40, 78,900.44 and 24,952.32 is: 37,395.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,646.40 : 78,900.44 = 24,952.32 : x
  2. Step 2: Convert to fraction form
    52,646.40/78,900.44 = 24,952.32/x
  3. Step 3: Cross multiply
    52,646.40x = 78,900.44 × 24,952.32
  4. Step 4: Simplify right side
    52,646.40x = 1,968,749,027.02
  5. Step 5: Solve for x
    x = 1,968,749,027.02/52,646.40
  6. Step 6: Final answer
    x = 37,395.70

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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.