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Finding the Fourth Proportional to 35,416.17, 53,130.02 and 10,458.74

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Solution

The fourth proportional to 35,416.17, 53,130.02 and 10,458.74 is: 15,689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,416.17 : 53,130.02 = 10,458.74 : x
  2. Step 2: Convert to fraction form
    35,416.17/53,130.02 = 10,458.74/x
  3. Step 3: Cross multiply
    35,416.17x = 53,130.02 × 10,458.74
  4. Step 4: Simplify right side
    35,416.17x = 555,673,065.37
  5. Step 5: Solve for x
    x = 555,673,065.37/35,416.17
  6. Step 6: Final answer
    x = 15,689.81

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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.