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Finding the Fourth Proportional to 82,756.51, 114,202.87 and 45,030.67

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Solution

The fourth proportional to 82,756.51, 114,202.87 and 45,030.67 is: 62,141.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,756.51 : 114,202.87 = 45,030.67 : x
  2. Step 2: Convert to fraction form
    82,756.51/114,202.87 = 45,030.67/x
  3. Step 3: Cross multiply
    82,756.51x = 114,202.87 × 45,030.67
  4. Step 4: Simplify right side
    82,756.51x = 5,142,631,752.02
  5. Step 5: Solve for x
    x = 5,142,631,752.02/82,756.51
  6. Step 6: Final answer
    x = 62,141.72

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