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Finding the Fourth Proportional to 57,405.48, 86,113.14 and 15,852.48

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Solution

The fourth proportional to 57,405.48, 86,113.14 and 15,852.48 is: 23,780.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,405.48 : 86,113.14 = 15,852.48 : x
  2. Step 2: Convert to fraction form
    57,405.48/86,113.14 = 15,852.48/x
  3. Step 3: Cross multiply
    57,405.48x = 86,113.14 × 15,852.48
  4. Step 4: Simplify right side
    57,405.48x = 1,365,106,829.59
  5. Step 5: Solve for x
    x = 1,365,106,829.59/57,405.48
  6. Step 6: Final answer
    x = 23,780.08

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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.