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Finding the Fourth Proportional to 74,061, 102,206.76 and 40,527

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Solution

The fourth proportional to 74,061, 102,206.76 and 40,527 is: 55,928.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,061 : 102,206.76 = 40,527 : x
  2. Step 2: Convert to fraction form
    74,061/102,206.76 = 40,527/x
  3. Step 3: Cross multiply
    74,061x = 102,206.76 × 40,527
  4. Step 4: Simplify right side
    74,061x = 4,142,133,362.52
  5. Step 5: Solve for x
    x = 4,142,133,362.52/74,061
  6. Step 6: Final answer
    x = 55,928.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.