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Finding the Fourth Proportional to 77,292, 115,971.36 and 41,746.26

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Solution

The fourth proportional to 77,292, 115,971.36 and 41,746.26 is: 62,637.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,292 : 115,971.36 = 41,746.26 : x
  2. Step 2: Convert to fraction form
    77,292/115,971.36 = 41,746.26/x
  3. Step 3: Cross multiply
    77,292x = 115,971.36 × 41,746.26
  4. Step 4: Simplify right side
    77,292x = 4,841,370,547.11
  5. Step 5: Solve for x
    x = 4,841,370,547.11/77,292
  6. Step 6: Final answer
    x = 62,637.41

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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.