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Finding the Fourth Proportional to 49,830.50, 74,746.02 and 12,894.50

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Solution

The fourth proportional to 49,830.50, 74,746.02 and 12,894.50 is: 19,341.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,830.50 : 74,746.02 = 12,894.50 : x
  2. Step 2: Convert to fraction form
    49,830.50/74,746.02 = 12,894.50/x
  3. Step 3: Cross multiply
    49,830.50x = 74,746.02 × 12,894.50
  4. Step 4: Simplify right side
    49,830.50x = 963,812,554.89
  5. Step 5: Solve for x
    x = 963,812,554.89/49,830.50
  6. Step 6: Final answer
    x = 19,341.82

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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.