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Finding the Fourth Proportional to 46,770.40, 70,155.54 and 11,710

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Solution

The fourth proportional to 46,770.40, 70,155.54 and 11,710 is: 17,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,770.40 : 70,155.54 = 11,710 : x
  2. Step 2: Convert to fraction form
    46,770.40/70,155.54 = 11,710/x
  3. Step 3: Cross multiply
    46,770.40x = 70,155.54 × 11,710
  4. Step 4: Simplify right side
    46,770.40x = 821,521,373.40
  5. Step 5: Solve for x
    x = 821,521,373.40/46,770.40
  6. Step 6: Final answer
    x = 17,564.98

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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.