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Finding the Fourth Proportional to 38,507.34, 53,117.19 and 26,570.10

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Solution

The fourth proportional to 38,507.34, 53,117.19 and 26,570.10 is: 36,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,507.34 : 53,117.19 = 26,570.10 : x
  2. Step 2: Convert to fraction form
    38,507.34/53,117.19 = 26,570.10/x
  3. Step 3: Cross multiply
    38,507.34x = 53,117.19 × 26,570.10
  4. Step 4: Simplify right side
    38,507.34x = 1,411,329,050.02
  5. Step 5: Solve for x
    x = 1,411,329,050.02/38,507.34
  6. Step 6: Final answer
    x = 36,650.91

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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.