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Finding the Fourth Proportional to 64,935.60, 97,403.40 and 47,439.60

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Solution

The fourth proportional to 64,935.60, 97,403.40 and 47,439.60 is: 71,159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,935.60 : 97,403.40 = 47,439.60 : x
  2. Step 2: Convert to fraction form
    64,935.60/97,403.40 = 47,439.60/x
  3. Step 3: Cross multiply
    64,935.60x = 97,403.40 × 47,439.60
  4. Step 4: Simplify right side
    64,935.60x = 4,620,778,334.64
  5. Step 5: Solve for x
    x = 4,620,778,334.64/64,935.60
  6. Step 6: Final answer
    x = 71,159.40

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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.