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Finding the Fourth Proportional to 77,411.85, 106,838.24 and 45,583.71

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Solution

The fourth proportional to 77,411.85, 106,838.24 and 45,583.71 is: 62,911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,411.85 : 106,838.24 = 45,583.71 : x
  2. Step 2: Convert to fraction form
    77,411.85/106,838.24 = 45,583.71/x
  3. Step 3: Cross multiply
    77,411.85x = 106,838.24 × 45,583.71
  4. Step 4: Simplify right side
    77,411.85x = 4,870,083,349.07
  5. Step 5: Solve for x
    x = 4,870,083,349.07/77,411.85
  6. Step 6: Final answer
    x = 62,911.34

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1.5x scale

Why These Related Problems?

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