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Finding the Fourth Proportional to 30,688.54, 42,345.36 and 18,752.38

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Solution

The fourth proportional to 30,688.54, 42,345.36 and 18,752.38 is: 25,875.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,688.54 : 42,345.36 = 18,752.38 : x
  2. Step 2: Convert to fraction form
    30,688.54/42,345.36 = 18,752.38/x
  3. Step 3: Cross multiply
    30,688.54x = 42,345.36 × 18,752.38
  4. Step 4: Simplify right side
    30,688.54x = 794,076,281.96
  5. Step 5: Solve for x
    x = 794,076,281.96/30,688.54
  6. Step 6: Final answer
    x = 25,875.34

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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.