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Finding the Fourth Proportional to 82,950.95, 114,482.19 and 52,368.48

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Solution

The fourth proportional to 82,950.95, 114,482.19 and 52,368.48 is: 72,274.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,950.95 : 114,482.19 = 52,368.48 : x
  2. Step 2: Convert to fraction form
    82,950.95/114,482.19 = 52,368.48/x
  3. Step 3: Cross multiply
    82,950.95x = 114,482.19 × 52,368.48
  4. Step 4: Simplify right side
    82,950.95x = 5,995,258,277.37
  5. Step 5: Solve for x
    x = 5,995,258,277.37/82,950.95
  6. Step 6: Final answer
    x = 72,274.74

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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.