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Finding the Fourth Proportional to 124,025, 186,037.51 and 36,473

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Solution

The fourth proportional to 124,025, 186,037.51 and 36,473 is: 54,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,025 : 186,037.51 = 36,473 : x
  2. Step 2: Convert to fraction form
    124,025/186,037.51 = 36,473/x
  3. Step 3: Cross multiply
    124,025x = 186,037.51 × 36,473
  4. Step 4: Simplify right side
    124,025x = 6,785,346,102.23
  5. Step 5: Solve for x
    x = 6,785,346,102.23/124,025
  6. Step 6: Final answer
    x = 54,709.50

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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.