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Finding the Fourth Proportional to 77,264.26, 106,612.50 and 45,004.19

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Solution

The fourth proportional to 77,264.26, 106,612.50 and 45,004.19 is: 62,098.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,264.26 : 106,612.50 = 45,004.19 : x
  2. Step 2: Convert to fraction form
    77,264.26/106,612.50 = 45,004.19/x
  3. Step 3: Cross multiply
    77,264.26x = 106,612.50 × 45,004.19
  4. Step 4: Simplify right side
    77,264.26x = 4,798,009,206.38
  5. Step 5: Solve for x
    x = 4,798,009,206.38/77,264.26
  6. Step 6: Final answer
    x = 62,098.69

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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.