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Finding the Fourth Proportional to 38,457.51, 53,030.39 and 30,376.95

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Solution

The fourth proportional to 38,457.51, 53,030.39 and 30,376.95 is: 41,887.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,457.51 : 53,030.39 = 30,376.95 : x
  2. Step 2: Convert to fraction form
    38,457.51/53,030.39 = 30,376.95/x
  3. Step 3: Cross multiply
    38,457.51x = 53,030.39 × 30,376.95
  4. Step 4: Simplify right side
    38,457.51x = 1,610,901,353.63
  5. Step 5: Solve for x
    x = 1,610,901,353.63/38,457.51
  6. Step 6: Final answer
    x = 41,887.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.