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Finding the Fourth Proportional to 47,547.39, 65,615.37 and 26,328

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Solution

The fourth proportional to 47,547.39, 65,615.37 and 26,328 is: 36,332.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,547.39 : 65,615.37 = 26,328 : x
  2. Step 2: Convert to fraction form
    47,547.39/65,615.37 = 26,328/x
  3. Step 3: Cross multiply
    47,547.39x = 65,615.37 × 26,328
  4. Step 4: Simplify right side
    47,547.39x = 1,727,521,461.36
  5. Step 5: Solve for x
    x = 1,727,521,461.36/47,547.39
  6. Step 6: Final answer
    x = 36,332.62

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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.