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Finding the Fourth Proportional to 55,854.42, 83,749.23 and 22,547.22

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Solution

The fourth proportional to 55,854.42, 83,749.23 and 22,547.22 is: 33,807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,854.42 : 83,749.23 = 22,547.22 : x
  2. Step 2: Convert to fraction form
    55,854.42/83,749.23 = 22,547.22/x
  3. Step 3: Cross multiply
    55,854.42x = 83,749.23 × 22,547.22
  4. Step 4: Simplify right side
    55,854.42x = 1,888,312,313.64
  5. Step 5: Solve for x
    x = 1,888,312,313.64/55,854.42
  6. Step 6: Final answer
    x = 33,807.75

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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.