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Finding the Fourth Proportional to 83,038.87, 114,590.59 and 45,312.31

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Solution

The fourth proportional to 83,038.87, 114,590.59 and 45,312.31 is: 62,529.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,038.87 : 114,590.59 = 45,312.31 : x
  2. Step 2: Convert to fraction form
    83,038.87/114,590.59 = 45,312.31/x
  3. Step 3: Cross multiply
    83,038.87x = 114,590.59 × 45,312.31
  4. Step 4: Simplify right side
    83,038.87x = 5,192,364,337.16
  5. Step 5: Solve for x
    x = 5,192,364,337.16/83,038.87
  6. Step 6: Final answer
    x = 62,529.32

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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.