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Finding the Fourth Proportional to 78,036.51, 117,058.80 and 24,734.15

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Solution

The fourth proportional to 78,036.51, 117,058.80 and 24,734.15 is: 37,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,036.51 : 117,058.80 = 24,734.15 : x
  2. Step 2: Convert to fraction form
    78,036.51/117,058.80 = 24,734.15/x
  3. Step 3: Cross multiply
    78,036.51x = 117,058.80 × 24,734.15
  4. Step 4: Simplify right side
    78,036.51x = 2,895,349,209.06
  5. Step 5: Solve for x
    x = 2,895,349,209.06/78,036.51
  6. Step 6: Final answer
    x = 37,102.50

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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.