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Finding the Fourth Proportional to 35,602.89, 53,407.38 and 9,307.61

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Solution

The fourth proportional to 35,602.89, 53,407.38 and 9,307.61 is: 13,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,602.89 : 53,407.38 = 9,307.61 : x
  2. Step 2: Convert to fraction form
    35,602.89/53,407.38 = 9,307.61/x
  3. Step 3: Cross multiply
    35,602.89x = 53,407.38 × 9,307.61
  4. Step 4: Simplify right side
    35,602.89x = 497,094,797.12
  5. Step 5: Solve for x
    x = 497,094,797.12/35,602.89
  6. Step 6: Final answer
    x = 13,962.20

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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.