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Finding the Fourth Proportional to 61,294, 84,585.80 and 34,798

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Solution

The fourth proportional to 61,294, 84,585.80 and 34,798 is: 48,021.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,294 : 84,585.80 = 34,798 : x
  2. Step 2: Convert to fraction form
    61,294/84,585.80 = 34,798/x
  3. Step 3: Cross multiply
    61,294x = 84,585.80 × 34,798
  4. Step 4: Simplify right side
    61,294x = 2,943,416,668.40
  5. Step 5: Solve for x
    x = 2,943,416,668.40/61,294
  6. Step 6: Final answer
    x = 48,021.29

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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.