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Finding the Fourth Proportional to 55,959, 83,938.50 and 19,023

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Solution

The fourth proportional to 55,959, 83,938.50 and 19,023 is: 28,534.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,959 : 83,938.50 = 19,023 : x
  2. Step 2: Convert to fraction form
    55,959/83,938.50 = 19,023/x
  3. Step 3: Cross multiply
    55,959x = 83,938.50 × 19,023
  4. Step 4: Simplify right side
    55,959x = 1,596,762,085.50
  5. Step 5: Solve for x
    x = 1,596,762,085.50/55,959
  6. Step 6: Final answer
    x = 28,534.50

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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.