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Finding the Fourth Proportional to 70,477.12, 97,262.88 and 46,561.87

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Solution

The fourth proportional to 70,477.12, 97,262.88 and 46,561.87 is: 64,258.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,477.12 : 97,262.88 = 46,561.87 : x
  2. Step 2: Convert to fraction form
    70,477.12/97,262.88 = 46,561.87/x
  3. Step 3: Cross multiply
    70,477.12x = 97,262.88 × 46,561.87
  4. Step 4: Simplify right side
    70,477.12x = 4,528,741,574.39
  5. Step 5: Solve for x
    x = 4,528,741,574.39/70,477.12
  6. Step 6: Final answer
    x = 64,258.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.