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Finding the Fourth Proportional to 35,894.16, 53,841.60 and 9,602.64

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Solution

The fourth proportional to 35,894.16, 53,841.60 and 9,602.64 is: 14,404.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,894.16 : 53,841.60 = 9,602.64 : x
  2. Step 2: Convert to fraction form
    35,894.16/53,841.60 = 9,602.64/x
  3. Step 3: Cross multiply
    35,894.16x = 53,841.60 × 9,602.64
  4. Step 4: Simplify right side
    35,894.16x = 517,021,501.82
  5. Step 5: Solve for x
    x = 517,021,501.82/35,894.16
  6. Step 6: Final answer
    x = 14,404.06

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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.