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Finding the Fourth Proportional to 52,316.32, 72,206.16 and 31,108

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Solution

The fourth proportional to 52,316.32, 72,206.16 and 31,108 is: 42,934.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,316.32 : 72,206.16 = 31,108 : x
  2. Step 2: Convert to fraction form
    52,316.32/72,206.16 = 31,108/x
  3. Step 3: Cross multiply
    52,316.32x = 72,206.16 × 31,108
  4. Step 4: Simplify right side
    52,316.32x = 2,246,189,225.28
  5. Step 5: Solve for x
    x = 2,246,189,225.28/52,316.32
  6. Step 6: Final answer
    x = 42,934.77

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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.