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Finding the Fourth Proportional to 55,132.52, 82,699.02 and 17,698.28

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Solution

The fourth proportional to 55,132.52, 82,699.02 and 17,698.28 is: 26,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,132.52 : 82,699.02 = 17,698.28 : x
  2. Step 2: Convert to fraction form
    55,132.52/82,699.02 = 17,698.28/x
  3. Step 3: Cross multiply
    55,132.52x = 82,699.02 × 17,698.28
  4. Step 4: Simplify right side
    55,132.52x = 1,463,630,411.69
  5. Step 5: Solve for x
    x = 1,463,630,411.69/55,132.52
  6. Step 6: Final answer
    x = 26,547.50

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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.