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Finding the Fourth Proportional to 78,526.30, 117,501.45 and 57,790.30

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Solution

The fourth proportional to 78,526.30, 117,501.45 and 57,790.30 is: 86,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,526.30 : 117,501.45 = 57,790.30 : x
  2. Step 2: Convert to fraction form
    78,526.30/117,501.45 = 57,790.30/x
  3. Step 3: Cross multiply
    78,526.30x = 117,501.45 × 57,790.30
  4. Step 4: Simplify right side
    78,526.30x = 6,790,444,045.94
  5. Step 5: Solve for x
    x = 6,790,444,045.94/78,526.30
  6. Step 6: Final answer
    x = 86,473.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.