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Finding the Fourth Proportional to 64,784.71, 97,177.05 and 25,314.15

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Solution

The fourth proportional to 64,784.71, 97,177.05 and 25,314.15 is: 37,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,784.71 : 97,177.05 = 25,314.15 : x
  2. Step 2: Convert to fraction form
    64,784.71/97,177.05 = 25,314.15/x
  3. Step 3: Cross multiply
    64,784.71x = 97,177.05 × 25,314.15
  4. Step 4: Simplify right side
    64,784.71x = 2,459,954,784.67
  5. Step 5: Solve for x
    x = 2,459,954,784.67/64,784.71
  6. Step 6: Final answer
    x = 37,971.22

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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.