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Finding the Fourth Proportional to 47,547.28, 65,617.50 and 28,684

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Solution

The fourth proportional to 47,547.28, 65,617.50 and 28,684 is: 39,585.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,547.28 : 65,617.50 = 28,684 : x
  2. Step 2: Convert to fraction form
    47,547.28/65,617.50 = 28,684/x
  3. Step 3: Cross multiply
    47,547.28x = 65,617.50 × 28,684
  4. Step 4: Simplify right side
    47,547.28x = 1,882,172,370
  5. Step 5: Solve for x
    x = 1,882,172,370/47,547.28
  6. Step 6: Final answer
    x = 39,585.28

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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.