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Finding the Fourth Proportional to 30,554.32, 45,830.64 and 9,777.52

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Solution

The fourth proportional to 30,554.32, 45,830.64 and 9,777.52 is: 14,666.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,554.32 : 45,830.64 = 9,777.52 : x
  2. Step 2: Convert to fraction form
    30,554.32/45,830.64 = 9,777.52/x
  3. Step 3: Cross multiply
    30,554.32x = 45,830.64 × 9,777.52
  4. Step 4: Simplify right side
    30,554.32x = 448,109,999.21
  5. Step 5: Solve for x
    x = 448,109,999.21/30,554.32
  6. Step 6: Final answer
    x = 14,666.01

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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.