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Finding the Fourth Proportional to 92,322.76, 127,409.12 and 52,038.20

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Solution

The fourth proportional to 92,322.76, 127,409.12 and 52,038.20 is: 71,814.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,322.76 : 127,409.12 = 52,038.20 : x
  2. Step 2: Convert to fraction form
    92,322.76/127,409.12 = 52,038.20/x
  3. Step 3: Cross multiply
    92,322.76x = 127,409.12 × 52,038.20
  4. Step 4: Simplify right side
    92,322.76x = 6,630,141,268.38
  5. Step 5: Solve for x
    x = 6,630,141,268.38/92,322.76
  6. Step 6: Final answer
    x = 71,814.81

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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.