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Finding the Fourth Proportional to 70,489.64, 97,280.14 and 46,574.38

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Solution

The fourth proportional to 70,489.64, 97,280.14 and 46,574.38 is: 64,275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,489.64 : 97,280.14 = 46,574.38 : x
  2. Step 2: Convert to fraction form
    70,489.64/97,280.14 = 46,574.38/x
  3. Step 3: Cross multiply
    70,489.64x = 97,280.14 × 46,574.38
  4. Step 4: Simplify right side
    70,489.64x = 4,530,762,206.81
  5. Step 5: Solve for x
    x = 4,530,762,206.81/70,489.64
  6. Step 6: Final answer
    x = 64,275.58

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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.