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Finding the Fourth Proportional to 91,357.60, 137,097.60 and 32,193.40

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Solution

The fourth proportional to 91,357.60, 137,097.60 and 32,193.40 is: 48,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,357.60 : 137,097.60 = 32,193.40 : x
  2. Step 2: Convert to fraction form
    91,357.60/137,097.60 = 32,193.40/x
  3. Step 3: Cross multiply
    91,357.60x = 137,097.60 × 32,193.40
  4. Step 4: Simplify right side
    91,357.60x = 4,413,637,875.84
  5. Step 5: Solve for x
    x = 4,413,637,875.84/91,357.60
  6. Step 6: Final answer
    x = 48,311.67

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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.