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Finding the Fourth Proportional to 35,415.17, 53,128.52 and 10,457.74

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Solution

The fourth proportional to 35,415.17, 53,128.52 and 10,457.74 is: 15,688.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,415.17 : 53,128.52 = 10,457.74 : x
  2. Step 2: Convert to fraction form
    35,415.17/53,128.52 = 10,457.74/x
  3. Step 3: Cross multiply
    35,415.17x = 53,128.52 × 10,457.74
  4. Step 4: Simplify right side
    35,415.17x = 555,604,302.08
  5. Step 5: Solve for x
    x = 555,604,302.08/35,415.17
  6. Step 6: Final answer
    x = 15,688.31

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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.