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Finding the Fourth Proportional to 30,710.40, 46,055.28 and 10,714.80

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Solution

The fourth proportional to 30,710.40, 46,055.28 and 10,714.80 is: 16,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,710.40 : 46,055.28 = 10,714.80 : x
  2. Step 2: Convert to fraction form
    30,710.40/46,055.28 = 10,714.80/x
  3. Step 3: Cross multiply
    30,710.40x = 46,055.28 × 10,714.80
  4. Step 4: Simplify right side
    30,710.40x = 493,473,114.14
  5. Step 5: Solve for x
    x = 493,473,114.14/30,710.40
  6. Step 6: Final answer
    x = 16,068.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.