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Finding the Fourth Proportional to 52,024.50, 78,038.91 and 15,088.50

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Solution

The fourth proportional to 52,024.50, 78,038.91 and 15,088.50 is: 22,633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,024.50 : 78,038.91 = 15,088.50 : x
  2. Step 2: Convert to fraction form
    52,024.50/78,038.91 = 15,088.50/x
  3. Step 3: Cross multiply
    52,024.50x = 78,038.91 × 15,088.50
  4. Step 4: Simplify right side
    52,024.50x = 1,177,490,093.54
  5. Step 5: Solve for x
    x = 1,177,490,093.54/52,024.50
  6. Step 6: Final answer
    x = 22,633.38

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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.