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Finding the Fourth Proportional to 61,420.95, 84,762.54 and 34,564.41

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Solution

The fourth proportional to 61,420.95, 84,762.54 and 34,564.41 is: 47,699.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,420.95 : 84,762.54 = 34,564.41 : x
  2. Step 2: Convert to fraction form
    61,420.95/84,762.54 = 34,564.41/x
  3. Step 3: Cross multiply
    61,420.95x = 84,762.54 × 34,564.41
  4. Step 4: Simplify right side
    61,420.95x = 2,929,767,185.20
  5. Step 5: Solve for x
    x = 2,929,767,185.20/61,420.95
  6. Step 6: Final answer
    x = 47,699.80

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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.