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Finding the Fourth Proportional to 27,271.36, 40,902 and 7,547.32

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Solution

The fourth proportional to 27,271.36, 40,902 and 7,547.32 is: 11,319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,271.36 : 40,902 = 7,547.32 : x
  2. Step 2: Convert to fraction form
    27,271.36/40,902 = 7,547.32/x
  3. Step 3: Cross multiply
    27,271.36x = 40,902 × 7,547.32
  4. Step 4: Simplify right side
    27,271.36x = 308,700,482.64
  5. Step 5: Solve for x
    x = 308,700,482.64/27,271.36
  6. Step 6: Final answer
    x = 11,319.59

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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.