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Finding the Fourth Proportional to 38,206.16, 52,724.71 and 21,210.13

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Solution

The fourth proportional to 38,206.16, 52,724.71 and 21,210.13 is: 29,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,206.16 : 52,724.71 = 21,210.13 : x
  2. Step 2: Convert to fraction form
    38,206.16/52,724.71 = 21,210.13/x
  3. Step 3: Cross multiply
    38,206.16x = 52,724.71 × 21,210.13
  4. Step 4: Simplify right side
    38,206.16x = 1,118,298,045.73
  5. Step 5: Solve for x
    x = 1,118,298,045.73/38,206.16
  6. Step 6: Final answer
    x = 29,270.10

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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.