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Finding the Fourth Proportional to 78,905, 118,378.02 and 23,501

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Solution

The fourth proportional to 78,905, 118,378.02 and 23,501 is: 35,257.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,905 : 118,378.02 = 23,501 : x
  2. Step 2: Convert to fraction form
    78,905/118,378.02 = 23,501/x
  3. Step 3: Cross multiply
    78,905x = 118,378.02 × 23,501
  4. Step 4: Simplify right side
    78,905x = 2,782,001,848.02
  5. Step 5: Solve for x
    x = 2,782,001,848.02/78,905
  6. Step 6: Final answer
    x = 35,257.61

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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.