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Finding the Fourth Proportional to 34,810.60, 52,210.98 and 11,434

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Solution

The fourth proportional to 34,810.60, 52,210.98 and 11,434 is: 17,149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,810.60 : 52,210.98 = 11,434 : x
  2. Step 2: Convert to fraction form
    34,810.60/52,210.98 = 11,434/x
  3. Step 3: Cross multiply
    34,810.60x = 52,210.98 × 11,434
  4. Step 4: Simplify right side
    34,810.60x = 596,980,345.32
  5. Step 5: Solve for x
    x = 596,980,345.32/34,810.60
  6. Step 6: Final answer
    x = 17,149.38

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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.