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Finding the Fourth Proportional to 46,588, 69,920.88 and 21,964

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Solution

The fourth proportional to 46,588, 69,920.88 and 21,964 is: 32,964.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,588 : 69,920.88 = 21,964 : x
  2. Step 2: Convert to fraction form
    46,588/69,920.88 = 21,964/x
  3. Step 3: Cross multiply
    46,588x = 69,920.88 × 21,964
  4. Step 4: Simplify right side
    46,588x = 1,535,742,208.32
  5. Step 5: Solve for x
    x = 1,535,742,208.32/46,588
  6. Step 6: Final answer
    x = 32,964.33

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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.