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Finding the Fourth Proportional to 47,580.84, 70,951.22 and 47,153.77

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Solution

The fourth proportional to 47,580.84, 70,951.22 and 47,153.77 is: 70,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,580.84 : 70,951.22 = 47,153.77 : x
  2. Step 2: Convert to fraction form
    47,580.84/70,951.22 = 47,153.77/x
  3. Step 3: Cross multiply
    47,580.84x = 70,951.22 × 47,153.77
  4. Step 4: Simplify right side
    47,580.84x = 3,345,617,339.71
  5. Step 5: Solve for x
    x = 3,345,617,339.71/47,580.84
  6. Step 6: Final answer
    x = 70,314.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.