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Finding the Fourth Proportional to 46,834.16, 64,635.45 and 27,970.88

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Solution

The fourth proportional to 46,834.16, 64,635.45 and 27,970.88 is: 38,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,834.16 : 64,635.45 = 27,970.88 : x
  2. Step 2: Convert to fraction form
    46,834.16/64,635.45 = 27,970.88/x
  3. Step 3: Cross multiply
    46,834.16x = 64,635.45 × 27,970.88
  4. Step 4: Simplify right side
    46,834.16x = 1,807,910,415.70
  5. Step 5: Solve for x
    x = 1,807,910,415.70/46,834.16
  6. Step 6: Final answer
    x = 38,602.39

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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.