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Finding the Fourth Proportional to 64,748.86, 97,097.76 and 31,459.07

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Solution

The fourth proportional to 64,748.86, 97,097.76 and 31,459.07 is: 47,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,748.86 : 97,097.76 = 31,459.07 : x
  2. Step 2: Convert to fraction form
    64,748.86/97,097.76 = 31,459.07/x
  3. Step 3: Cross multiply
    64,748.86x = 97,097.76 × 31,459.07
  4. Step 4: Simplify right side
    64,748.86x = 3,054,605,471.43
  5. Step 5: Solve for x
    x = 3,054,605,471.43/64,748.86
  6. Step 6: Final answer
    x = 47,176.21

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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.