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Finding the Fourth Proportional to 38,509.34, 53,119.95 and 26,572.10

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Solution

The fourth proportional to 38,509.34, 53,119.95 and 26,572.10 is: 36,653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509.34 : 53,119.95 = 26,572.10 : x
  2. Step 2: Convert to fraction form
    38,509.34/53,119.95 = 26,572.10/x
  3. Step 3: Cross multiply
    38,509.34x = 53,119.95 × 26,572.10
  4. Step 4: Simplify right side
    38,509.34x = 1,411,508,623.40
  5. Step 5: Solve for x
    x = 1,411,508,623.40/38,509.34
  6. Step 6: Final answer
    x = 36,653.67

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Why These Related Problems?

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