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Finding the Fourth Proportional to 53,356.16, 80,038.28 and 15,913.32

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Solution

The fourth proportional to 53,356.16, 80,038.28 and 15,913.32 is: 23,871.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,356.16 : 80,038.28 = 15,913.32 : x
  2. Step 2: Convert to fraction form
    53,356.16/80,038.28 = 15,913.32/x
  3. Step 3: Cross multiply
    53,356.16x = 80,038.28 × 15,913.32
  4. Step 4: Simplify right side
    53,356.16x = 1,273,674,761.89
  5. Step 5: Solve for x
    x = 1,273,674,761.89/53,356.16
  6. Step 6: Final answer
    x = 23,871.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.