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Finding the Fourth Proportional to 64,457.60, 96,689.00 and 30,706.25

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Solution

The fourth proportional to 64,457.60, 96,689.00 and 30,706.25 is: 46,060.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,457.60 : 96,689.00 = 30,706.25 : x
  2. Step 2: Convert to fraction form
    64,457.60/96,689.00 = 30,706.25/x
  3. Step 3: Cross multiply
    64,457.60x = 96,689.00 × 30,706.25
  4. Step 4: Simplify right side
    64,457.60x = 2,968,956,924.74
  5. Step 5: Solve for x
    x = 2,968,956,924.74/64,457.60
  6. Step 6: Final answer
    x = 46,060.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.