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Finding the Fourth Proportional to 35,775.32, 53,666.65 and 9,480.06

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Solution

The fourth proportional to 35,775.32, 53,666.65 and 9,480.06 is: 14,221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,775.32 : 53,666.65 = 9,480.06 : x
  2. Step 2: Convert to fraction form
    35,775.32/53,666.65 = 9,480.06/x
  3. Step 3: Cross multiply
    35,775.32x = 53,666.65 × 9,480.06
  4. Step 4: Simplify right side
    35,775.32x = 508,762,978.38
  5. Step 5: Solve for x
    x = 508,762,978.38/35,775.32
  6. Step 6: Final answer
    x = 14,221.06

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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.