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Finding the Fourth Proportional to 52,305, 78,456.80 and 12,862.45

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Solution

The fourth proportional to 52,305, 78,456.80 and 12,862.45 is: 19,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,305 : 78,456.80 = 12,862.45 : x
  2. Step 2: Convert to fraction form
    52,305/78,456.80 = 12,862.45/x
  3. Step 3: Cross multiply
    52,305x = 78,456.80 × 12,862.45
  4. Step 4: Simplify right side
    52,305x = 1,009,146,667.16
  5. Step 5: Solve for x
    x = 1,009,146,667.16/52,305
  6. Step 6: Final answer
    x = 19,293.50

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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.