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Finding the Fourth Proportional to 46,332, 69,509.61 and 21,389.49

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Solution

The fourth proportional to 46,332, 69,509.61 and 21,389.49 is: 32,089.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,332 : 69,509.61 = 21,389.49 : x
  2. Step 2: Convert to fraction form
    46,332/69,509.61 = 21,389.49/x
  3. Step 3: Cross multiply
    46,332x = 69,509.61 × 21,389.49
  4. Step 4: Simplify right side
    46,332x = 1,486,775,108.00
  5. Step 5: Solve for x
    x = 1,486,775,108.00/46,332
  6. Step 6: Final answer
    x = 32,089.59

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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.