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Finding the Fourth Proportional to 53,510.32, 73,894.28 and 34,423.28

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Solution

The fourth proportional to 53,510.32, 73,894.28 and 34,423.28 is: 47,536.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,510.32 : 73,894.28 = 34,423.28 : x
  2. Step 2: Convert to fraction form
    53,510.32/73,894.28 = 34,423.28/x
  3. Step 3: Cross multiply
    53,510.32x = 73,894.28 × 34,423.28
  4. Step 4: Simplify right side
    53,510.32x = 2,543,683,226.35
  5. Step 5: Solve for x
    x = 2,543,683,226.35/53,510.32
  6. Step 6: Final answer
    x = 47,536.31

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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.