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Finding the Fourth Proportional to 52,412.59, 78,624.42 and 30,225.48

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Solution

The fourth proportional to 52,412.59, 78,624.42 and 30,225.48 is: 45,341.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,412.59 : 78,624.42 = 30,225.48 : x
  2. Step 2: Convert to fraction form
    52,412.59/78,624.42 = 30,225.48/x
  3. Step 3: Cross multiply
    52,412.59x = 78,624.42 × 30,225.48
  4. Step 4: Simplify right side
    52,412.59x = 2,376,460,834.22
  5. Step 5: Solve for x
    x = 2,376,460,834.22/52,412.59
  6. Step 6: Final answer
    x = 45,341.41

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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.