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Finding the Fourth Proportional to 61,382.04, 84,709.74 and 34,525.80

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Solution

The fourth proportional to 61,382.04, 84,709.74 and 34,525.80 is: 47,647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,382.04 : 84,709.74 = 34,525.80 : x
  2. Step 2: Convert to fraction form
    61,382.04/84,709.74 = 34,525.80/x
  3. Step 3: Cross multiply
    61,382.04x = 84,709.74 × 34,525.80
  4. Step 4: Simplify right side
    61,382.04x = 2,924,671,541.29
  5. Step 5: Solve for x
    x = 2,924,671,541.29/61,382.04
  6. Step 6: Final answer
    x = 47,647.02

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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.