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Finding the Fourth Proportional to 70,852.12, 97,775.74 and 39,021.01

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Solution

The fourth proportional to 70,852.12, 97,775.74 and 39,021.01 is: 53,848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,852.12 : 97,775.74 = 39,021.01 : x
  2. Step 2: Convert to fraction form
    70,852.12/97,775.74 = 39,021.01/x
  3. Step 3: Cross multiply
    70,852.12x = 97,775.74 × 39,021.01
  4. Step 4: Simplify right side
    70,852.12x = 3,815,307,932.63
  5. Step 5: Solve for x
    x = 3,815,307,932.63/70,852.12
  6. Step 6: Final answer
    x = 53,848.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.