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Finding the Fourth Proportional to 46,352, 69,530.16 and 13,520

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Solution

The fourth proportional to 46,352, 69,530.16 and 13,520 is: 20,280.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,352 : 69,530.16 = 13,520 : x
  2. Step 2: Convert to fraction form
    46,352/69,530.16 = 13,520/x
  3. Step 3: Cross multiply
    46,352x = 69,530.16 × 13,520
  4. Step 4: Simplify right side
    46,352x = 940,047,763.20
  5. Step 5: Solve for x
    x = 940,047,763.20/46,352
  6. Step 6: Final answer
    x = 20,280.63

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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.