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Finding the Fourth Proportional to 46,402, 69,614.88 and 15,237.52

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Solution

The fourth proportional to 46,402, 69,614.88 and 15,237.52 is: 22,860.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,402 : 69,614.88 = 15,237.52 : x
  2. Step 2: Convert to fraction form
    46,402/69,614.88 = 15,237.52/x
  3. Step 3: Cross multiply
    46,402x = 69,614.88 × 15,237.52
  4. Step 4: Simplify right side
    46,402x = 1,060,758,126.30
  5. Step 5: Solve for x
    x = 1,060,758,126.30/46,402
  6. Step 6: Final answer
    x = 22,860.18

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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.