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Finding the Fourth Proportional to 30,710.96, 46,064.48 and 10,988.56

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Solution

The fourth proportional to 30,710.96, 46,064.48 and 10,988.56 is: 16,482.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,710.96 : 46,064.48 = 10,988.56 : x
  2. Step 2: Convert to fraction form
    30,710.96/46,064.48 = 10,988.56/x
  3. Step 3: Cross multiply
    30,710.96x = 46,064.48 × 10,988.56
  4. Step 4: Simplify right side
    30,710.96x = 506,182,302.35
  5. Step 5: Solve for x
    x = 506,182,302.35/30,710.96
  6. Step 6: Final answer
    x = 16,482.14

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1.5x scale

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.