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Finding the Fourth Proportional to 77,110.48, 106,411.08 and 43,575.76

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Solution

The fourth proportional to 77,110.48, 106,411.08 and 43,575.76 is: 60,133.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,110.48 : 106,411.08 = 43,575.76 : x
  2. Step 2: Convert to fraction form
    77,110.48/106,411.08 = 43,575.76/x
  3. Step 3: Cross multiply
    77,110.48x = 106,411.08 × 43,575.76
  4. Step 4: Simplify right side
    77,110.48x = 4,636,943,683.42
  5. Step 5: Solve for x
    x = 4,636,943,683.42/77,110.48
  6. Step 6: Final answer
    x = 60,133.77

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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.