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Finding the Fourth Proportional to 82,931.27, 114,409.11 and 52,700.40

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Solution

The fourth proportional to 82,931.27, 114,409.11 and 52,700.40 is: 72,703.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,931.27 : 114,409.11 = 52,700.40 : x
  2. Step 2: Convert to fraction form
    82,931.27/114,409.11 = 52,700.40/x
  3. Step 3: Cross multiply
    82,931.27x = 114,409.11 × 52,700.40
  4. Step 4: Simplify right side
    82,931.27x = 6,029,406,146.67
  5. Step 5: Solve for x
    x = 6,029,406,146.67/82,931.27
  6. Step 6: Final answer
    x = 72,703.65

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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.