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Finding the Fourth Proportional to 52,602.44, 78,903.60 and 13,159.52

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Solution

The fourth proportional to 52,602.44, 78,903.60 and 13,159.52 is: 19,739.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,602.44 : 78,903.60 = 13,159.52 : x
  2. Step 2: Convert to fraction form
    52,602.44/78,903.60 = 13,159.52/x
  3. Step 3: Cross multiply
    52,602.44x = 78,903.60 × 13,159.52
  4. Step 4: Simplify right side
    52,602.44x = 1,038,333,107.75
  5. Step 5: Solve for x
    x = 1,038,333,107.75/52,602.44
  6. Step 6: Final answer
    x = 19,739.26

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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.