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Finding the Fourth Proportional to 35,807.46, 53,707.02 and 9,514.32

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Solution

The fourth proportional to 35,807.46, 53,707.02 and 9,514.32 is: 14,270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,807.46 : 53,707.02 = 9,514.32 : x
  2. Step 2: Convert to fraction form
    35,807.46/53,707.02 = 9,514.32/x
  3. Step 3: Cross multiply
    35,807.46x = 53,707.02 × 9,514.32
  4. Step 4: Simplify right side
    35,807.46x = 510,985,774.53
  5. Step 5: Solve for x
    x = 510,985,774.53/35,807.46
  6. Step 6: Final answer
    x = 14,270.37

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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.