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Finding the Fourth Proportional to 64,817.60, 97,210.20 and 24,827.90

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Solution

The fourth proportional to 64,817.60, 97,210.20 and 24,827.90 is: 37,235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,817.60 : 97,210.20 = 24,827.90 : x
  2. Step 2: Convert to fraction form
    64,817.60/97,210.20 = 24,827.90/x
  3. Step 3: Cross multiply
    64,817.60x = 97,210.20 × 24,827.90
  4. Step 4: Simplify right side
    64,817.60x = 2,413,525,124.58
  5. Step 5: Solve for x
    x = 2,413,525,124.58/64,817.60
  6. Step 6: Final answer
    x = 37,235.64

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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.