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Finding the Fourth Proportional to 97,228.59, 145,842.93 and 23,356.59

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Solution

The fourth proportional to 97,228.59, 145,842.93 and 23,356.59 is: 35,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,228.59 : 145,842.93 = 23,356.59 : x
  2. Step 2: Convert to fraction form
    97,228.59/145,842.93 = 23,356.59/x
  3. Step 3: Cross multiply
    97,228.59x = 145,842.93 × 23,356.59
  4. Step 4: Simplify right side
    97,228.59x = 3,406,393,520.41
  5. Step 5: Solve for x
    x = 3,406,393,520.41/97,228.59
  6. Step 6: Final answer
    x = 35,034.90

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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.