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Finding the Fourth Proportional to 90,146, 124,407.24 and 50,402

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Solution

The fourth proportional to 90,146, 124,407.24 and 50,402 is: 69,557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,146 : 124,407.24 = 50,402 : x
  2. Step 2: Convert to fraction form
    90,146/124,407.24 = 50,402/x
  3. Step 3: Cross multiply
    90,146x = 124,407.24 × 50,402
  4. Step 4: Simplify right side
    90,146x = 6,270,373,710.48
  5. Step 5: Solve for x
    x = 6,270,373,710.48/90,146
  6. Step 6: Final answer
    x = 69,557.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.