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Finding the Fourth Proportional to 56,497.39, 77,838.06 and 43,706.51

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Solution

The fourth proportional to 56,497.39, 77,838.06 and 43,706.51 is: 60,215.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,497.39 : 77,838.06 = 43,706.51 : x
  2. Step 2: Convert to fraction form
    56,497.39/77,838.06 = 43,706.51/x
  3. Step 3: Cross multiply
    56,497.39x = 77,838.06 × 43,706.51
  4. Step 4: Simplify right side
    56,497.39x = 3,402,030,233.29
  5. Step 5: Solve for x
    x = 3,402,030,233.29/56,497.39
  6. Step 6: Final answer
    x = 60,215.71

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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.