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Finding the Fourth Proportional to 76,510.16, 114,783.72 and 26,583

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Solution

The fourth proportional to 76,510.16, 114,783.72 and 26,583 is: 39,880.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,510.16 : 114,783.72 = 26,583 : x
  2. Step 2: Convert to fraction form
    76,510.16/114,783.72 = 26,583/x
  3. Step 3: Cross multiply
    76,510.16x = 114,783.72 × 26,583
  4. Step 4: Simplify right side
    76,510.16x = 3,051,295,628.76
  5. Step 5: Solve for x
    x = 3,051,295,628.76/76,510.16
  6. Step 6: Final answer
    x = 39,880.92

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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.