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Finding the Fourth Proportional to 97,975.95, 147,029.39 and 35,646.45

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Solution

The fourth proportional to 97,975.95, 147,029.39 and 35,646.45 is: 53,493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,975.95 : 147,029.39 = 35,646.45 : x
  2. Step 2: Convert to fraction form
    97,975.95/147,029.39 = 35,646.45/x
  3. Step 3: Cross multiply
    97,975.95x = 147,029.39 × 35,646.45
  4. Step 4: Simplify right side
    97,975.95x = 5,241,075,620.93
  5. Step 5: Solve for x
    x = 5,241,075,620.93/97,975.95
  6. Step 6: Final answer
    x = 53,493.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.