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Finding the Fourth Proportional to 61,070.52, 84,271.68 and 34,214.16

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Solution

The fourth proportional to 61,070.52, 84,271.68 and 34,214.16 is: 47,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,070.52 : 84,271.68 = 34,214.16 : x
  2. Step 2: Convert to fraction form
    61,070.52/84,271.68 = 34,214.16/x
  3. Step 3: Cross multiply
    61,070.52x = 84,271.68 × 34,214.16
  4. Step 4: Simplify right side
    61,070.52x = 2,883,284,742.99
  5. Step 5: Solve for x
    x = 2,883,284,742.99/61,070.52
  6. Step 6: Final answer
    x = 47,212.38

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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.