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Finding the Fourth Proportional to 76,664.70, 105,706.74 and 52,477.32

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Solution

The fourth proportional to 76,664.70, 105,706.74 and 52,477.32 is: 72,356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,664.70 : 105,706.74 = 52,477.32 : x
  2. Step 2: Convert to fraction form
    76,664.70/105,706.74 = 52,477.32/x
  3. Step 3: Cross multiply
    76,664.70x = 105,706.74 × 52,477.32
  4. Step 4: Simplify right side
    76,664.70x = 5,547,206,421.14
  5. Step 5: Solve for x
    x = 5,547,206,421.14/76,664.70
  6. Step 6: Final answer
    x = 72,356.72

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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.