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Finding the Fourth Proportional to 94,646.40, 130,610.16 and 52,206

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Solution

The fourth proportional to 94,646.40, 130,610.16 and 52,206 is: 72,043.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,646.40 : 130,610.16 = 52,206 : x
  2. Step 2: Convert to fraction form
    94,646.40/130,610.16 = 52,206/x
  3. Step 3: Cross multiply
    94,646.40x = 130,610.16 × 52,206
  4. Step 4: Simplify right side
    94,646.40x = 6,818,634,012.96
  5. Step 5: Solve for x
    x = 6,818,634,012.96/94,646.40
  6. Step 6: Final answer
    x = 72,043.25

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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.