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Finding the Fourth Proportional to 106,752, 147,317.76 and 59,648

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Solution

The fourth proportional to 106,752, 147,317.76 and 59,648 is: 82,314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,752 : 147,317.76 = 59,648 : x
  2. Step 2: Convert to fraction form
    106,752/147,317.76 = 59,648/x
  3. Step 3: Cross multiply
    106,752x = 147,317.76 × 59,648
  4. Step 4: Simplify right side
    106,752x = 8,787,209,748.48
  5. Step 5: Solve for x
    x = 8,787,209,748.48/106,752
  6. Step 6: Final answer
    x = 82,314.24

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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.