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Finding the Fourth Proportional to 58,547.96, 87,822 and 27,405.08

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Solution

The fourth proportional to 58,547.96, 87,822 and 27,405.08 is: 41,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,547.96 : 87,822 = 27,405.08 : x
  2. Step 2: Convert to fraction form
    58,547.96/87,822 = 27,405.08/x
  3. Step 3: Cross multiply
    58,547.96x = 87,822 × 27,405.08
  4. Step 4: Simplify right side
    58,547.96x = 2,406,768,935.76
  5. Step 5: Solve for x
    x = 2,406,768,935.76/58,547.96
  6. Step 6: Final answer
    x = 41,107.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.