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Finding the Fourth Proportional to 77,242.48, 106,603.58 and 47,045.52

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Solution

The fourth proportional to 77,242.48, 106,603.58 and 47,045.52 is: 64,928.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,242.48 : 106,603.58 = 47,045.52 : x
  2. Step 2: Convert to fraction form
    77,242.48/106,603.58 = 47,045.52/x
  3. Step 3: Cross multiply
    77,242.48x = 106,603.58 × 47,045.52
  4. Step 4: Simplify right side
    77,242.48x = 5,015,220,854.96
  5. Step 5: Solve for x
    x = 5,015,220,854.96/77,242.48
  6. Step 6: Final answer
    x = 64,928.27

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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.