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Finding the Fourth Proportional to 64,762.30, 97,114.65 and 29,712.70

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Solution

The fourth proportional to 64,762.30, 97,114.65 and 29,712.70 is: 44,555.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,762.30 : 97,114.65 = 29,712.70 : x
  2. Step 2: Convert to fraction form
    64,762.30/97,114.65 = 29,712.70/x
  3. Step 3: Cross multiply
    64,762.30x = 97,114.65 × 29,712.70
  4. Step 4: Simplify right side
    64,762.30x = 2,885,538,461.06
  5. Step 5: Solve for x
    x = 2,885,538,461.06/64,762.30
  6. Step 6: Final answer
    x = 44,555.84

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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.