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Finding the Fourth Proportional to 77,451.84, 106,852.48 and 56,184.32

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Solution

The fourth proportional to 77,451.84, 106,852.48 and 56,184.32 is: 77,511.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,451.84 : 106,852.48 = 56,184.32 : x
  2. Step 2: Convert to fraction form
    77,451.84/106,852.48 = 56,184.32/x
  3. Step 3: Cross multiply
    77,451.84x = 106,852.48 × 56,184.32
  4. Step 4: Simplify right side
    77,451.84x = 6,003,433,929.11
  5. Step 5: Solve for x
    x = 6,003,433,929.11/77,451.84
  6. Step 6: Final answer
    x = 77,511.83

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1.5x scale

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.