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Finding the Fourth Proportional to 47,767.88, 65,922.72 and 26,547.68

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Solution

The fourth proportional to 47,767.88, 65,922.72 and 26,547.68 is: 36,637.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,767.88 : 65,922.72 = 26,547.68 : x
  2. Step 2: Convert to fraction form
    47,767.88/65,922.72 = 26,547.68/x
  3. Step 3: Cross multiply
    47,767.88x = 65,922.72 × 26,547.68
  4. Step 4: Simplify right side
    47,767.88x = 1,750,095,275.29
  5. Step 5: Solve for x
    x = 1,750,095,275.29/47,767.88
  6. Step 6: Final answer
    x = 36,637.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.