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Finding the Fourth Proportional to 46,594, 69,929.88 and 21,970

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Solution

The fourth proportional to 46,594, 69,929.88 and 21,970 is: 32,973.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,594 : 69,929.88 = 21,970 : x
  2. Step 2: Convert to fraction form
    46,594/69,929.88 = 21,970/x
  3. Step 3: Cross multiply
    46,594x = 69,929.88 × 21,970
  4. Step 4: Simplify right side
    46,594x = 1,536,359,463.60
  5. Step 5: Solve for x
    x = 1,536,359,463.60/46,594
  6. Step 6: Final answer
    x = 32,973.33

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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.