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Finding the Fourth Proportional to 77,329.54, 106,712.98 and 45,062.10

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Solution

The fourth proportional to 77,329.54, 106,712.98 and 45,062.10 is: 62,184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,329.54 : 106,712.98 = 45,062.10 : x
  2. Step 2: Convert to fraction form
    77,329.54/106,712.98 = 45,062.10/x
  3. Step 3: Cross multiply
    77,329.54x = 106,712.98 × 45,062.10
  4. Step 4: Simplify right side
    77,329.54x = 4,808,710,976.06
  5. Step 5: Solve for x
    x = 4,808,710,976.06/77,329.54
  6. Step 6: Final answer
    x = 62,184.66

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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.