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Finding the Fourth Proportional to 70,595.40, 97,409.16 and 46,713.36

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Solution

The fourth proportional to 70,595.40, 97,409.16 and 46,713.36 is: 64,456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,595.40 : 97,409.16 = 46,713.36 : x
  2. Step 2: Convert to fraction form
    70,595.40/97,409.16 = 46,713.36/x
  3. Step 3: Cross multiply
    70,595.40x = 97,409.16 × 46,713.36
  4. Step 4: Simplify right side
    70,595.40x = 4,550,309,158.38
  5. Step 5: Solve for x
    x = 4,550,309,158.38/70,595.40
  6. Step 6: Final answer
    x = 64,456.17

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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.