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Finding the Fourth Proportional to 52,333.48, 78,507 and 19,048.44

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Solution

The fourth proportional to 52,333.48, 78,507 and 19,048.44 is: 28,575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,333.48 : 78,507 = 19,048.44 : x
  2. Step 2: Convert to fraction form
    52,333.48/78,507 = 19,048.44/x
  3. Step 3: Cross multiply
    52,333.48x = 78,507 × 19,048.44
  4. Step 4: Simplify right side
    52,333.48x = 1,495,435,879.08
  5. Step 5: Solve for x
    x = 1,495,435,879.08/52,333.48
  6. Step 6: Final answer
    x = 28,575.13

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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.