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Finding the Fourth Proportional to 53,386.98, 73,666.17 and 30,417

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Solution

The fourth proportional to 53,386.98, 73,666.17 and 30,417 is: 41,970.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,386.98 : 73,666.17 = 30,417 : x
  2. Step 2: Convert to fraction form
    53,386.98/73,666.17 = 30,417/x
  3. Step 3: Cross multiply
    53,386.98x = 73,666.17 × 30,417
  4. Step 4: Simplify right side
    53,386.98x = 2,240,703,892.89
  5. Step 5: Solve for x
    x = 2,240,703,892.89/53,386.98
  6. Step 6: Final answer
    x = 41,970.98

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